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Finding the Fourth Proportional to 171,041,232.80, 256,263,250.80 and 147,153,360.80

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Solution

The fourth proportional to 171,041,232.80, 256,263,250.80 and 147,153,360.80 is: 220,473,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,041,232.80 : 256,263,250.80 = 147,153,360.80 : x
  2. Step 2: Convert to fraction form
    171,041,232.80/256,263,250.80 = 147,153,360.80/x
  3. Step 3: Cross multiply
    171,041,232.80x = 256,263,250.80 × 147,153,360.80
  4. Step 4: Simplify right side
    171,041,232.80x = 37,709,998,604,753,296
  5. Step 5: Solve for x
    x = 37,709,998,604,753,296/171,041,232.80
  6. Step 6: Final answer
    x = 220,473,145.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.