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Finding the Fourth Proportional to 367,863.95, 551,570.11 and 142,961.78

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Solution

The fourth proportional to 367,863.95, 551,570.11 and 142,961.78 is: 214,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,863.95 : 551,570.11 = 142,961.78 : x
  2. Step 2: Convert to fraction form
    367,863.95/551,570.11 = 142,961.78/x
  3. Step 3: Cross multiply
    367,863.95x = 551,570.11 × 142,961.78
  4. Step 4: Simplify right side
    367,863.95x = 78,853,442,639.33
  5. Step 5: Solve for x
    x = 78,853,442,639.33/367,863.95
  6. Step 6: Final answer
    x = 214,354.91

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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.