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Finding the Fourth Proportional to 224,899, 337,397.02 and 84,657.16

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Solution

The fourth proportional to 224,899, 337,397.02 and 84,657.16 is: 127,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,899 : 337,397.02 = 84,657.16 : x
  2. Step 2: Convert to fraction form
    224,899/337,397.02 = 84,657.16/x
  3. Step 3: Cross multiply
    224,899x = 337,397.02 × 84,657.16
  4. Step 4: Simplify right side
    224,899x = 28,563,073,505.66
  5. Step 5: Solve for x
    x = 28,563,073,505.66/224,899
  6. Step 6: Final answer
    x = 127,004.00

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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.