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Finding the Fourth Proportional to 138,913.95, 191,702.13 and 75,251.70

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Solution

The fourth proportional to 138,913.95, 191,702.13 and 75,251.70 is: 103,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,913.95 : 191,702.13 = 75,251.70 : x
  2. Step 2: Convert to fraction form
    138,913.95/191,702.13 = 75,251.70/x
  3. Step 3: Cross multiply
    138,913.95x = 191,702.13 × 75,251.70
  4. Step 4: Simplify right side
    138,913.95x = 14,425,911,176.12
  5. Step 5: Solve for x
    x = 14,425,911,176.12/138,913.95
  6. Step 6: Final answer
    x = 103,847.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.