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Finding the Fourth Proportional to 282,177.60, 423,306.11 and 82,513

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Solution

The fourth proportional to 282,177.60, 423,306.11 and 82,513 is: 123,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,177.60 : 423,306.11 = 82,513 : x
  2. Step 2: Convert to fraction form
    282,177.60/423,306.11 = 82,513/x
  3. Step 3: Cross multiply
    282,177.60x = 423,306.11 × 82,513
  4. Step 4: Simplify right side
    282,177.60x = 34,928,257,054.43
  5. Step 5: Solve for x
    x = 34,928,257,054.43/282,177.60
  6. Step 6: Final answer
    x = 123,781.11

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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.