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Finding the Fourth Proportional to 138,811.88, 191,560.46 and 75,149.69

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Solution

The fourth proportional to 138,811.88, 191,560.46 and 75,149.69 is: 103,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.88 : 191,560.46 = 75,149.69 : x
  2. Step 2: Convert to fraction form
    138,811.88/191,560.46 = 75,149.69/x
  3. Step 3: Cross multiply
    138,811.88x = 191,560.46 × 75,149.69
  4. Step 4: Simplify right side
    138,811.88x = 14,395,707,851.71
  5. Step 5: Solve for x
    x = 14,395,707,851.71/138,811.88
  6. Step 6: Final answer
    x = 103,706.60

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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.