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Finding the Fourth Proportional to 224,839.88, 337,223.10 and 75,074.12

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Solution

The fourth proportional to 224,839.88, 337,223.10 and 75,074.12 is: 112,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,839.88 : 337,223.10 = 75,074.12 : x
  2. Step 2: Convert to fraction form
    224,839.88/337,223.10 = 75,074.12/x
  3. Step 3: Cross multiply
    224,839.88x = 337,223.10 × 75,074.12
  4. Step 4: Simplify right side
    224,839.88x = 25,316,727,476.17
  5. Step 5: Solve for x
    x = 25,316,727,476.17/224,839.88
  6. Step 6: Final answer
    x = 112,598.92

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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.