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Finding the Fourth Proportional to 224,947.30, 337,385.70 and 75,186.40

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Solution

The fourth proportional to 224,947.30, 337,385.70 and 75,186.40 is: 112,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,947.30 : 337,385.70 = 75,186.40 : x
  2. Step 2: Convert to fraction form
    224,947.30/337,385.70 = 75,186.40/x
  3. Step 3: Cross multiply
    224,947.30x = 337,385.70 × 75,186.40
  4. Step 4: Simplify right side
    224,947.30x = 25,366,816,194.48
  5. Step 5: Solve for x
    x = 25,366,816,194.48/224,947.30
  6. Step 6: Final answer
    x = 112,767.82

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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.