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Finding the Fourth Proportional to 96,190.29, 144,339.80 and 51,815.97

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Solution

The fourth proportional to 96,190.29, 144,339.80 and 51,815.97 is: 77,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,190.29 : 144,339.80 = 51,815.97 : x
  2. Step 2: Convert to fraction form
    96,190.29/144,339.80 = 51,815.97/x
  3. Step 3: Cross multiply
    96,190.29x = 144,339.80 × 51,815.97
  4. Step 4: Simplify right side
    96,190.29x = 7,479,106,487.53
  5. Step 5: Solve for x
    x = 7,479,106,487.53/96,190.29
  6. Step 6: Final answer
    x = 77,753.24

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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.