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Finding the Fourth Proportional to 96,382.34, 144,401.72 and 82,198.47

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Solution

The fourth proportional to 96,382.34, 144,401.72 and 82,198.47 is: 123,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,382.34 : 144,401.72 = 82,198.47 : x
  2. Step 2: Convert to fraction form
    96,382.34/144,401.72 = 82,198.47/x
  3. Step 3: Cross multiply
    96,382.34x = 144,401.72 × 82,198.47
  4. Step 4: Simplify right side
    96,382.34x = 11,869,600,038.38
  5. Step 5: Solve for x
    x = 11,869,600,038.38/96,382.34
  6. Step 6: Final answer
    x = 123,151.20

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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.