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Finding the Fourth Proportional to 215,839.40, 323,574.50 and 82,815.13

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Solution

The fourth proportional to 215,839.40, 323,574.50 and 82,815.13 is: 124,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,839.40 : 323,574.50 = 82,815.13 : x
  2. Step 2: Convert to fraction form
    215,839.40/323,574.50 = 82,815.13/x
  3. Step 3: Cross multiply
    215,839.40x = 323,574.50 × 82,815.13
  4. Step 4: Simplify right side
    215,839.40x = 26,796,862,664.31
  5. Step 5: Solve for x
    x = 26,796,862,664.31/215,839.40
  6. Step 6: Final answer
    x = 124,151.86

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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.