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Finding the Fourth Proportional to 150,042.60, 224,947.06 and 75,124.16

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Solution

The fourth proportional to 150,042.60, 224,947.06 and 75,124.16 is: 112,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,042.60 : 224,947.06 = 75,124.16 : x
  2. Step 2: Convert to fraction form
    150,042.60/224,947.06 = 75,124.16/x
  3. Step 3: Cross multiply
    150,042.60x = 224,947.06 × 75,124.16
  4. Step 4: Simplify right side
    150,042.60x = 16,898,958,926.97
  5. Step 5: Solve for x
    x = 16,898,958,926.97/150,042.60
  6. Step 6: Final answer
    x = 112,627.74

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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.