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Finding the Fourth Proportional to 115,198, 159,026.52 and 81,234.16

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Solution

The fourth proportional to 115,198, 159,026.52 and 81,234.16 is: 112,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198 : 159,026.52 = 81,234.16 : x
  2. Step 2: Convert to fraction form
    115,198/159,026.52 = 81,234.16/x
  3. Step 3: Cross multiply
    115,198x = 159,026.52 × 81,234.16
  4. Step 4: Simplify right side
    115,198x = 12,918,385,769.92
  5. Step 5: Solve for x
    x = 12,918,385,769.92/115,198
  6. Step 6: Final answer
    x = 112,140.71

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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.