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Finding the Fourth Proportional to 231,778.32, 347,079.42 and 194,239.68

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Solution

The fourth proportional to 231,778.32, 347,079.42 and 194,239.68 is: 290,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,778.32 : 347,079.42 = 194,239.68 : x
  2. Step 2: Convert to fraction form
    231,778.32/347,079.42 = 194,239.68/x
  3. Step 3: Cross multiply
    231,778.32x = 347,079.42 × 194,239.68
  4. Step 4: Simplify right side
    231,778.32x = 67,416,595,475.39
  5. Step 5: Solve for x
    x = 67,416,595,475.39/231,778.32
  6. Step 6: Final answer
    x = 290,866.70

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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.