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Finding the Fourth Proportional to 282,108.83, 423,161.42 and 71,744.94

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Solution

The fourth proportional to 282,108.83, 423,161.42 and 71,744.94 is: 107,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,108.83 : 423,161.42 = 71,744.94 : x
  2. Step 2: Convert to fraction form
    282,108.83/423,161.42 = 71,744.94/x
  3. Step 3: Cross multiply
    282,108.83x = 423,161.42 × 71,744.94
  4. Step 4: Simplify right side
    282,108.83x = 30,359,690,329.49
  5. Step 5: Solve for x
    x = 30,359,690,329.49/282,108.83
  6. Step 6: Final answer
    x = 107,616.95

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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.