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Finding the Fourth Proportional to 138,745.31, 191,468.52 and 75,083.11

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Solution

The fourth proportional to 138,745.31, 191,468.52 and 75,083.11 is: 103,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.31 : 191,468.52 = 75,083.11 : x
  2. Step 2: Convert to fraction form
    138,745.31/191,468.52 = 75,083.11/x
  3. Step 3: Cross multiply
    138,745.31x = 191,468.52 × 75,083.11
  4. Step 4: Simplify right side
    138,745.31x = 14,376,051,470.03
  5. Step 5: Solve for x
    x = 14,376,051,470.03/138,745.31
  6. Step 6: Final answer
    x = 103,614.68

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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.