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Finding the Fourth Proportional to 106,132.62, 146,426.22 and 65,831.88

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Solution

The fourth proportional to 106,132.62, 146,426.22 and 65,831.88 is: 90,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,132.62 : 146,426.22 = 65,831.88 : x
  2. Step 2: Convert to fraction form
    106,132.62/146,426.22 = 65,831.88/x
  3. Step 3: Cross multiply
    106,132.62x = 146,426.22 × 65,831.88
  4. Step 4: Simplify right side
    106,132.62x = 9,639,513,343.89
  5. Step 5: Solve for x
    x = 9,639,513,343.89/106,132.62
  6. Step 6: Final answer
    x = 90,825.17

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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.