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Finding the Fourth Proportional to 295,013.97, 442,398.98 and 92,542.55

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Solution

The fourth proportional to 295,013.97, 442,398.98 and 92,542.55 is: 138,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,013.97 : 442,398.98 = 92,542.55 : x
  2. Step 2: Convert to fraction form
    295,013.97/442,398.98 = 92,542.55/x
  3. Step 3: Cross multiply
    295,013.97x = 442,398.98 × 92,542.55
  4. Step 4: Simplify right side
    295,013.97x = 40,940,727,051.89
  5. Step 5: Solve for x
    x = 40,940,727,051.89/295,013.97
  6. Step 6: Final answer
    x = 138,775.55

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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.