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Finding the Fourth Proportional to 282,278.78, 423,374.34 and 82,552.22

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Solution

The fourth proportional to 282,278.78, 423,374.34 and 82,552.22 is: 123,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,278.78 : 423,374.34 = 82,552.22 : x
  2. Step 2: Convert to fraction form
    282,278.78/423,374.34 = 82,552.22/x
  3. Step 3: Cross multiply
    282,278.78x = 423,374.34 × 82,552.22
  4. Step 4: Simplify right side
    282,278.78x = 34,950,491,658.03
  5. Step 5: Solve for x
    x = 34,950,491,658.03/282,278.78
  6. Step 6: Final answer
    x = 123,815.51

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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.