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Finding the Fourth Proportional to 138,766.11, 191,497.22 and 75,103.91

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Solution

The fourth proportional to 138,766.11, 191,497.22 and 75,103.91 is: 103,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,766.11 : 191,497.22 = 75,103.91 : x
  2. Step 2: Convert to fraction form
    138,766.11/191,497.22 = 75,103.91/x
  3. Step 3: Cross multiply
    138,766.11x = 191,497.22 × 75,103.91
  4. Step 4: Simplify right side
    138,766.11x = 14,382,189,206.40
  5. Step 5: Solve for x
    x = 14,382,189,206.40/138,766.11
  6. Step 6: Final answer
    x = 103,643.38

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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.