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Finding the Fourth Proportional to 106,616.93, 159,831.15 and 43,489.86

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Solution

The fourth proportional to 106,616.93, 159,831.15 and 43,489.86 is: 65,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.93 : 159,831.15 = 43,489.86 : x
  2. Step 2: Convert to fraction form
    106,616.93/159,831.15 = 43,489.86/x
  3. Step 3: Cross multiply
    106,616.93x = 159,831.15 × 43,489.86
  4. Step 4: Simplify right side
    106,616.93x = 6,951,034,337.14
  5. Step 5: Solve for x
    x = 6,951,034,337.14/106,616.93
  6. Step 6: Final answer
    x = 65,196.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.