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Finding the Fourth Proportional to 138,850.34, 191,613.56 and 75,188.16

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Solution

The fourth proportional to 138,850.34, 191,613.56 and 75,188.16 is: 103,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850.34 : 191,613.56 = 75,188.16 : x
  2. Step 2: Convert to fraction form
    138,850.34/191,613.56 = 75,188.16/x
  3. Step 3: Cross multiply
    138,850.34x = 191,613.56 × 75,188.16
  4. Step 4: Simplify right side
    138,850.34x = 14,407,070,631.51
  5. Step 5: Solve for x
    x = 14,407,070,631.51/138,850.34
  6. Step 6: Final answer
    x = 103,759.71

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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.