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Finding the Fourth Proportional to 129,006.48, 193,584.48 and 54,120

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Solution

The fourth proportional to 129,006.48, 193,584.48 and 54,120 is: 81,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,006.48 : 193,584.48 = 54,120 : x
  2. Step 2: Convert to fraction form
    129,006.48/193,584.48 = 54,120/x
  3. Step 3: Cross multiply
    129,006.48x = 193,584.48 × 54,120
  4. Step 4: Simplify right side
    129,006.48x = 10,476,792,057.60
  5. Step 5: Solve for x
    x = 10,476,792,057.60/129,006.48
  6. Step 6: Final answer
    x = 81,211.36

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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.