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Finding the Fourth Proportional to 161,781.30, 242,633.07 and 82,854.90

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Solution

The fourth proportional to 161,781.30, 242,633.07 and 82,854.90 is: 124,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,781.30 : 242,633.07 = 82,854.90 : x
  2. Step 2: Convert to fraction form
    161,781.30/242,633.07 = 82,854.90/x
  3. Step 3: Cross multiply
    161,781.30x = 242,633.07 × 82,854.90
  4. Step 4: Simplify right side
    161,781.30x = 20,103,338,751.54
  5. Step 5: Solve for x
    x = 20,103,338,751.54/161,781.30
  6. Step 6: Final answer
    x = 124,262.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.