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Finding the Fourth Proportional to 171,803.70, 257,632.65 and 83,084.40

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Solution

The fourth proportional to 171,803.70, 257,632.65 and 83,084.40 is: 124,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,803.70 : 257,632.65 = 83,084.40 : x
  2. Step 2: Convert to fraction form
    171,803.70/257,632.65 = 83,084.40/x
  3. Step 3: Cross multiply
    171,803.70x = 257,632.65 × 83,084.40
  4. Step 4: Simplify right side
    171,803.70x = 21,405,254,145.66
  5. Step 5: Solve for x
    x = 21,405,254,145.66/171,803.70
  6. Step 6: Final answer
    x = 124,591.35

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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.