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Finding the Fourth Proportional to 282,887.52, 424,318.52 and 83,214.42

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Solution

The fourth proportional to 282,887.52, 424,318.52 and 83,214.42 is: 124,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,887.52 : 424,318.52 = 83,214.42 : x
  2. Step 2: Convert to fraction form
    282,887.52/424,318.52 = 83,214.42/x
  3. Step 3: Cross multiply
    282,887.52x = 424,318.52 × 83,214.42
  4. Step 4: Simplify right side
    282,887.52x = 35,309,419,120.99
  5. Step 5: Solve for x
    x = 35,309,419,120.99/282,887.52
  6. Step 6: Final answer
    x = 124,817.88

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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.