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Finding the Fourth Proportional to 138,532.10, 191,171.59 and 78,101.53

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Solution

The fourth proportional to 138,532.10, 191,171.59 and 78,101.53 is: 107,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,532.10 : 191,171.59 = 78,101.53 : x
  2. Step 2: Convert to fraction form
    138,532.10/191,171.59 = 78,101.53/x
  3. Step 3: Cross multiply
    138,532.10x = 191,171.59 × 78,101.53
  4. Step 4: Simplify right side
    138,532.10x = 14,930,793,706.51
  5. Step 5: Solve for x
    x = 14,930,793,706.51/138,532.10
  6. Step 6: Final answer
    x = 107,778.59

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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.