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Finding the Fourth Proportional to 107,573.20, 161,392.20 and 76,469.20

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Solution

The fourth proportional to 107,573.20, 161,392.20 and 76,469.20 is: 114,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,573.20 : 161,392.20 = 76,469.20 : x
  2. Step 2: Convert to fraction form
    107,573.20/161,392.20 = 76,469.20/x
  3. Step 3: Cross multiply
    107,573.20x = 161,392.20 × 76,469.20
  4. Step 4: Simplify right side
    107,573.20x = 12,341,532,420.24
  5. Step 5: Solve for x
    x = 12,341,532,420.24/107,573.20
  6. Step 6: Final answer
    x = 114,726.83

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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.