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Finding the Fourth Proportional to 157,876.48, 217,858.17 and 86,241.30

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Solution

The fourth proportional to 157,876.48, 217,858.17 and 86,241.30 is: 119,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,876.48 : 217,858.17 = 86,241.30 : x
  2. Step 2: Convert to fraction form
    157,876.48/217,858.17 = 86,241.30/x
  3. Step 3: Cross multiply
    157,876.48x = 217,858.17 × 86,241.30
  4. Step 4: Simplify right side
    157,876.48x = 18,788,370,707.13
  5. Step 5: Solve for x
    x = 18,788,370,707.13/157,876.48
  6. Step 6: Final answer
    x = 119,006.77

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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.