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Finding the Fourth Proportional to 240,158.14, 360,244.50 and 82,384.31

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Solution

The fourth proportional to 240,158.14, 360,244.50 and 82,384.31 is: 123,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,158.14 : 360,244.50 = 82,384.31 : x
  2. Step 2: Convert to fraction form
    240,158.14/360,244.50 = 82,384.31/x
  3. Step 3: Cross multiply
    240,158.14x = 360,244.50 × 82,384.31
  4. Step 4: Simplify right side
    240,158.14x = 29,678,495,155.47
  5. Step 5: Solve for x
    x = 29,678,495,155.47/240,158.14
  6. Step 6: Final answer
    x = 123,578.97

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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.