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Finding the Fourth Proportional to 198,471.71, 297,753.70 and 65,353.13

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Solution

The fourth proportional to 198,471.71, 297,753.70 and 65,353.13 is: 98,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,471.71 : 297,753.70 = 65,353.13 : x
  2. Step 2: Convert to fraction form
    198,471.71/297,753.70 = 65,353.13/x
  3. Step 3: Cross multiply
    198,471.71x = 297,753.70 × 65,353.13
  4. Step 4: Simplify right side
    198,471.71x = 19,459,136,264.08
  5. Step 5: Solve for x
    x = 19,459,136,264.08/198,471.71
  6. Step 6: Final answer
    x = 98,044.89

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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.