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Finding the Fourth Proportional to 115,874.38, 159,906.64 and 62,882.38

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Solution

The fourth proportional to 115,874.38, 159,906.64 and 62,882.38 is: 86,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,874.38 : 159,906.64 = 62,882.38 : x
  2. Step 2: Convert to fraction form
    115,874.38/159,906.64 = 62,882.38/x
  3. Step 3: Cross multiply
    115,874.38x = 159,906.64 × 62,882.38
  4. Step 4: Simplify right side
    115,874.38x = 10,055,309,144.26
  5. Step 5: Solve for x
    x = 10,055,309,144.26/115,874.38
  6. Step 6: Final answer
    x = 86,777.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.