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Finding the Fourth Proportional to 178,117.52, 267,205.32 and 84,591.68

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Solution

The fourth proportional to 178,117.52, 267,205.32 and 84,591.68 is: 126,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,117.52 : 267,205.32 = 84,591.68 : x
  2. Step 2: Convert to fraction form
    178,117.52/267,205.32 = 84,591.68/x
  3. Step 3: Cross multiply
    178,117.52x = 267,205.32 × 84,591.68
  4. Step 4: Simplify right side
    178,117.52x = 22,603,346,923.74
  5. Step 5: Solve for x
    x = 22,603,346,923.74/178,117.52
  6. Step 6: Final answer
    x = 126,901.31

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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.