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Finding the Fourth Proportional to 282,605.76, 423,922.68 and 72,245.52

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Solution

The fourth proportional to 282,605.76, 423,922.68 and 72,245.52 is: 108,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,605.76 : 423,922.68 = 72,245.52 : x
  2. Step 2: Convert to fraction form
    282,605.76/423,922.68 = 72,245.52/x
  3. Step 3: Cross multiply
    282,605.76x = 423,922.68 × 72,245.52
  4. Step 4: Simplify right side
    282,605.76x = 30,626,514,456.39
  5. Step 5: Solve for x
    x = 30,626,514,456.39/282,605.76
  6. Step 6: Final answer
    x = 108,371.87

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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.