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Finding the Fourth Proportional to 231,479.64, 347,247.24 and 81,689

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Solution

The fourth proportional to 231,479.64, 347,247.24 and 81,689 is: 122,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,479.64 : 347,247.24 = 81,689 : x
  2. Step 2: Convert to fraction form
    231,479.64/347,247.24 = 81,689/x
  3. Step 3: Cross multiply
    231,479.64x = 347,247.24 × 81,689
  4. Step 4: Simplify right side
    231,479.64x = 28,366,279,788.36
  5. Step 5: Solve for x
    x = 28,366,279,788.36/231,479.64
  6. Step 6: Final answer
    x = 122,543.30

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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.