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Finding the Fourth Proportional to 282,757.97, 424,439.11 and 114,388.35

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Solution

The fourth proportional to 282,757.97, 424,439.11 and 114,388.35 is: 171,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,757.97 : 424,439.11 = 114,388.35 : x
  2. Step 2: Convert to fraction form
    282,757.97/424,439.11 = 114,388.35/x
  3. Step 3: Cross multiply
    282,757.97x = 424,439.11 × 114,388.35
  4. Step 4: Simplify right side
    282,757.97x = 48,550,889,763.74
  5. Step 5: Solve for x
    x = 48,550,889,763.74/282,757.97
  6. Step 6: Final answer
    x = 171,704.76

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Why These Related Problems?

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