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Finding the Fourth Proportional to 76,489.20, 114,733.80 and 68,713.20

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Solution

The fourth proportional to 76,489.20, 114,733.80 and 68,713.20 is: 103,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.20 : 114,733.80 = 68,713.20 : x
  2. Step 2: Convert to fraction form
    76,489.20/114,733.80 = 68,713.20/x
  3. Step 3: Cross multiply
    76,489.20x = 114,733.80 × 68,713.20
  4. Step 4: Simplify right side
    76,489.20x = 7,883,726,546.16
  5. Step 5: Solve for x
    x = 7,883,726,546.16/76,489.20
  6. Step 6: Final answer
    x = 103,069.80

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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.