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Finding the Fourth Proportional to 295,097.80, 442,589.10 and 98,105.80

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Solution

The fourth proportional to 295,097.80, 442,589.10 and 98,105.80 is: 147,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,097.80 : 442,589.10 = 98,105.80 : x
  2. Step 2: Convert to fraction form
    295,097.80/442,589.10 = 98,105.80/x
  3. Step 3: Cross multiply
    295,097.80x = 442,589.10 × 98,105.80
  4. Step 4: Simplify right side
    295,097.80x = 43,420,557,726.78
  5. Step 5: Solve for x
    x = 43,420,557,726.78/295,097.80
  6. Step 6: Final answer
    x = 147,139.55

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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.