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Finding the Fourth Proportional to 224,898.31, 337,457.42 and 98,521.30

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Solution

The fourth proportional to 224,898.31, 337,457.42 and 98,521.30 is: 147,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,898.31 : 337,457.42 = 98,521.30 : x
  2. Step 2: Convert to fraction form
    224,898.31/337,457.42 = 98,521.30/x
  3. Step 3: Cross multiply
    224,898.31x = 337,457.42 × 98,521.30
  4. Step 4: Simplify right side
    224,898.31x = 33,246,743,713.05
  5. Step 5: Solve for x
    x = 33,246,743,713.05/224,898.31
  6. Step 6: Final answer
    x = 147,830.12

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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.