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Finding the Fourth Proportional to 282,067.92, 423,017.64 and 148,874.76

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Solution

The fourth proportional to 282,067.92, 423,017.64 and 148,874.76 is: 223,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,067.92 : 423,017.64 = 148,874.76 : x
  2. Step 2: Convert to fraction form
    282,067.92/423,017.64 = 148,874.76/x
  3. Step 3: Cross multiply
    282,067.92x = 423,017.64 × 148,874.76
  4. Step 4: Simplify right side
    282,067.92x = 62,976,649,630.77
  5. Step 5: Solve for x
    x = 62,976,649,630.77/282,067.92
  6. Step 6: Final answer
    x = 223,267.68

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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.