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Finding the Fourth Proportional to 194,813.20, 292,219.80 and 161,570.80

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Solution

The fourth proportional to 194,813.20, 292,219.80 and 161,570.80 is: 242,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,813.20 : 292,219.80 = 161,570.80 : x
  2. Step 2: Convert to fraction form
    194,813.20/292,219.80 = 161,570.80/x
  3. Step 3: Cross multiply
    194,813.20x = 292,219.80 × 161,570.80
  4. Step 4: Simplify right side
    194,813.20x = 47,214,186,861.84
  5. Step 5: Solve for x
    x = 47,214,186,861.84/194,813.20
  6. Step 6: Final answer
    x = 242,356.20

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1.5x scale

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.