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Finding the Fourth Proportional to 138,849.38, 191,619.13 and 81,491.21

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Solution

The fourth proportional to 138,849.38, 191,619.13 and 81,491.21 is: 112,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,849.38 : 191,619.13 = 81,491.21 : x
  2. Step 2: Convert to fraction form
    138,849.38/191,619.13 = 81,491.21/x
  3. Step 3: Cross multiply
    138,849.38x = 191,619.13 × 81,491.21
  4. Step 4: Simplify right side
    138,849.38x = 15,615,274,452.26
  5. Step 5: Solve for x
    x = 15,615,274,452.26/138,849.38
  6. Step 6: Final answer
    x = 112,461.96

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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.