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Finding the Fourth Proportional to 138,686.33, 191,392.57 and 81,317.68

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Solution

The fourth proportional to 138,686.33, 191,392.57 and 81,317.68 is: 112,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,686.33 : 191,392.57 = 81,317.68 : x
  2. Step 2: Convert to fraction form
    138,686.33/191,392.57 = 81,317.68/x
  3. Step 3: Cross multiply
    138,686.33x = 191,392.57 × 81,317.68
  4. Step 4: Simplify right side
    138,686.33x = 15,563,599,079.86
  5. Step 5: Solve for x
    x = 15,563,599,079.86/138,686.33
  6. Step 6: Final answer
    x = 112,221.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.