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Finding the Fourth Proportional to 224,737.74, 337,060.98 and 82,534.14

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Solution

The fourth proportional to 224,737.74, 337,060.98 and 82,534.14 is: 123,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,737.74 : 337,060.98 = 82,534.14 : x
  2. Step 2: Convert to fraction form
    224,737.74/337,060.98 = 82,534.14/x
  3. Step 3: Cross multiply
    224,737.74x = 337,060.98 × 82,534.14
  4. Step 4: Simplify right side
    224,737.74x = 27,819,038,111.86
  5. Step 5: Solve for x
    x = 27,819,038,111.86/224,737.74
  6. Step 6: Final answer
    x = 123,784.45

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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.