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Finding the Fourth Proportional to 115,418, 159,276.84 and 65,115.92

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Solution

The fourth proportional to 115,418, 159,276.84 and 65,115.92 is: 89,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,418 : 159,276.84 = 65,115.92 : x
  2. Step 2: Convert to fraction form
    115,418/159,276.84 = 65,115.92/x
  3. Step 3: Cross multiply
    115,418x = 159,276.84 × 65,115.92
  4. Step 4: Simplify right side
    115,418x = 10,371,457,971.29
  5. Step 5: Solve for x
    x = 10,371,457,971.29/115,418
  6. Step 6: Final answer
    x = 89,859.97

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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.