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Finding the Fourth Proportional to 120,592.39, 180,831.06 and 54,033.07

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Solution

The fourth proportional to 120,592.39, 180,831.06 and 54,033.07 is: 81,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,592.39 : 180,831.06 = 54,033.07 : x
  2. Step 2: Convert to fraction form
    120,592.39/180,831.06 = 54,033.07/x
  3. Step 3: Cross multiply
    120,592.39x = 180,831.06 × 54,033.07
  4. Step 4: Simplify right side
    120,592.39x = 9,770,857,323.15
  5. Step 5: Solve for x
    x = 9,770,857,323.15/120,592.39
  6. Step 6: Final answer
    x = 81,023.83

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