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Finding the Fourth Proportional to 138,704.74, 191,411.74 and 75,041.17

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Solution

The fourth proportional to 138,704.74, 191,411.74 and 75,041.17 is: 103,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,704.74 : 191,411.74 = 75,041.17 : x
  2. Step 2: Convert to fraction form
    138,704.74/191,411.74 = 75,041.17/x
  3. Step 3: Cross multiply
    138,704.74x = 191,411.74 × 75,041.17
  4. Step 4: Simplify right side
    138,704.74x = 14,363,760,614.10
  5. Step 5: Solve for x
    x = 14,363,760,614.10/138,704.74
  6. Step 6: Final answer
    x = 103,556.38

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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.