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Finding the Fourth Proportional to 116,361, 160,593.24 and 71,029.48

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Solution

The fourth proportional to 116,361, 160,593.24 and 71,029.48 is: 98,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,361 : 160,593.24 = 71,029.48 : x
  2. Step 2: Convert to fraction form
    116,361/160,593.24 = 71,029.48/x
  3. Step 3: Cross multiply
    116,361x = 160,593.24 × 71,029.48
  4. Step 4: Simplify right side
    116,361x = 11,406,854,328.72
  5. Step 5: Solve for x
    x = 11,406,854,328.72/116,361
  6. Step 6: Final answer
    x = 98,029.88

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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.