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Finding the Fourth Proportional to 96,537.20, 144,805.80 and 84,873.20

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Solution

The fourth proportional to 96,537.20, 144,805.80 and 84,873.20 is: 127,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,537.20 : 144,805.80 = 84,873.20 : x
  2. Step 2: Convert to fraction form
    96,537.20/144,805.80 = 84,873.20/x
  3. Step 3: Cross multiply
    96,537.20x = 144,805.80 × 84,873.20
  4. Step 4: Simplify right side
    96,537.20x = 12,290,131,624.56
  5. Step 5: Solve for x
    x = 12,290,131,624.56/96,537.20
  6. Step 6: Final answer
    x = 127,309.80

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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.