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Finding the Fourth Proportional to 224,849.61, 337,274.42 and 67,188.78

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Solution

The fourth proportional to 224,849.61, 337,274.42 and 67,188.78 is: 100,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,849.61 : 337,274.42 = 67,188.78 : x
  2. Step 2: Convert to fraction form
    224,849.61/337,274.42 = 67,188.78/x
  3. Step 3: Cross multiply
    224,849.61x = 337,274.42 × 67,188.78
  4. Step 4: Simplify right side
    224,849.61x = 22,661,056,469.06
  5. Step 5: Solve for x
    x = 22,661,056,469.06/224,849.61
  6. Step 6: Final answer
    x = 100,783.17

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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.