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Finding the Fourth Proportional to 96,470.28, 144,472.12 and 83,406.60

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Solution

The fourth proportional to 96,470.28, 144,472.12 and 83,406.60 is: 124,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470.28 : 144,472.12 = 83,406.60 : x
  2. Step 2: Convert to fraction form
    96,470.28/144,472.12 = 83,406.60/x
  3. Step 3: Cross multiply
    96,470.28x = 144,472.12 × 83,406.60
  4. Step 4: Simplify right side
    96,470.28x = 12,049,928,323.99
  5. Step 5: Solve for x
    x = 12,049,928,323.99/96,470.28
  6. Step 6: Final answer
    x = 124,908.19

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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.