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Finding the Fourth Proportional to 282,053.96, 423,081.85 and 71,691.89

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Solution

The fourth proportional to 282,053.96, 423,081.85 and 71,691.89 is: 107,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,053.96 : 423,081.85 = 71,691.89 : x
  2. Step 2: Convert to fraction form
    282,053.96/423,081.85 = 71,691.89/x
  3. Step 3: Cross multiply
    282,053.96x = 423,081.85 × 71,691.89
  4. Step 4: Simplify right side
    282,053.96x = 30,331,537,451.20
  5. Step 5: Solve for x
    x = 30,331,537,451.20/282,053.96
  6. Step 6: Final answer
    x = 107,538.07

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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.