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Finding the Fourth Proportional to 243,080.20, 363,983.82 and 195,442.12

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Solution

The fourth proportional to 243,080.20, 363,983.82 and 195,442.12 is: 292,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,080.20 : 363,983.82 = 195,442.12 : x
  2. Step 2: Convert to fraction form
    243,080.20/363,983.82 = 195,442.12/x
  3. Step 3: Cross multiply
    243,080.20x = 363,983.82 × 195,442.12
  4. Step 4: Simplify right side
    243,080.20x = 71,137,769,426.50
  5. Step 5: Solve for x
    x = 71,137,769,426.50/243,080.20
  6. Step 6: Final answer
    x = 292,651.44

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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.