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Finding the Fourth Proportional to 138,871.83, 191,642.95 and 75,209.88

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Solution

The fourth proportional to 138,871.83, 191,642.95 and 75,209.88 is: 103,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,871.83 : 191,642.95 = 75,209.88 : x
  2. Step 2: Convert to fraction form
    138,871.83/191,642.95 = 75,209.88/x
  3. Step 3: Cross multiply
    138,871.83x = 191,642.95 × 75,209.88
  4. Step 4: Simplify right side
    138,871.83x = 14,413,442,896.30
  5. Step 5: Solve for x
    x = 14,413,442,896.30/138,871.83
  6. Step 6: Final answer
    x = 103,789.54

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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.