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Finding the Fourth Proportional to 138,811.89, 191,560.47 and 75,149.70

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Solution

The fourth proportional to 138,811.89, 191,560.47 and 75,149.70 is: 103,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.89 : 191,560.47 = 75,149.70 : x
  2. Step 2: Convert to fraction form
    138,811.89/191,560.47 = 75,149.70/x
  3. Step 3: Cross multiply
    138,811.89x = 191,560.47 × 75,149.70
  4. Step 4: Simplify right side
    138,811.89x = 14,395,711,852.36
  5. Step 5: Solve for x
    x = 14,395,711,852.36/138,811.89
  6. Step 6: Final answer
    x = 103,706.62

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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.