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Finding the Fourth Proportional to 96,864.80, 145,318.80 and 75,869.60

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Solution

The fourth proportional to 96,864.80, 145,318.80 and 75,869.60 is: 113,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864.80 : 145,318.80 = 75,869.60 : x
  2. Step 2: Convert to fraction form
    96,864.80/145,318.80 = 75,869.60/x
  3. Step 3: Cross multiply
    96,864.80x = 145,318.80 × 75,869.60
  4. Step 4: Simplify right side
    96,864.80x = 11,025,279,228.48
  5. Step 5: Solve for x
    x = 11,025,279,228.48/96,864.80
  6. Step 6: Final answer
    x = 113,821.32

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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.