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Finding the Fourth Proportional to 96,469.28, 144,470.62 and 83,405.60

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Solution

The fourth proportional to 96,469.28, 144,470.62 and 83,405.60 is: 124,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,469.28 : 144,470.62 = 83,405.60 : x
  2. Step 2: Convert to fraction form
    96,469.28/144,470.62 = 83,405.60/x
  3. Step 3: Cross multiply
    96,469.28x = 144,470.62 × 83,405.60
  4. Step 4: Simplify right side
    96,469.28x = 12,049,658,743.47
  5. Step 5: Solve for x
    x = 12,049,658,743.47/96,469.28
  6. Step 6: Final answer
    x = 124,906.69

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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.