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Finding the Fourth Proportional to 96,442.60, 144,491.10 and 82,618.60

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Solution

The fourth proportional to 96,442.60, 144,491.10 and 82,618.60 is: 123,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,442.60 : 144,491.10 = 82,618.60 : x
  2. Step 2: Convert to fraction form
    96,442.60/144,491.10 = 82,618.60/x
  3. Step 3: Cross multiply
    96,442.60x = 144,491.10 × 82,618.60
  4. Step 4: Simplify right side
    96,442.60x = 11,937,652,394.46
  5. Step 5: Solve for x
    x = 11,937,652,394.46/96,442.60
  6. Step 6: Final answer
    x = 123,779.87

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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.