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Finding the Fourth Proportional to 194,508.32, 291,801.80 and 82,188.86

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Solution

The fourth proportional to 194,508.32, 291,801.80 and 82,188.86 is: 123,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,508.32 : 291,801.80 = 82,188.86 : x
  2. Step 2: Convert to fraction form
    194,508.32/291,801.80 = 82,188.86/x
  3. Step 3: Cross multiply
    194,508.32x = 291,801.80 × 82,188.86
  4. Step 4: Simplify right side
    194,508.32x = 23,982,857,287.95
  5. Step 5: Solve for x
    x = 23,982,857,287.95/194,508.32
  6. Step 6: Final answer
    x = 123,299.90

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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.