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Finding the Fourth Proportional to 294,855.52, 442,156.92 and 137,067.52

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Solution

The fourth proportional to 294,855.52, 442,156.92 and 137,067.52 is: 205,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,855.52 : 442,156.92 = 137,067.52 : x
  2. Step 2: Convert to fraction form
    294,855.52/442,156.92 = 137,067.52/x
  3. Step 3: Cross multiply
    294,855.52x = 442,156.92 × 137,067.52
  4. Step 4: Simplify right side
    294,855.52x = 60,605,352,475.24
  5. Step 5: Solve for x
    x = 60,605,352,475.24/294,855.52
  6. Step 6: Final answer
    x = 205,542.54

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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.