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Finding the Fourth Proportional to 230,094.76, 345,225.16 and 80,357.20

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Solution

The fourth proportional to 230,094.76, 345,225.16 and 80,357.20 is: 120,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,094.76 : 345,225.16 = 80,357.20 : x
  2. Step 2: Convert to fraction form
    230,094.76/345,225.16 = 80,357.20/x
  3. Step 3: Cross multiply
    230,094.76x = 345,225.16 × 80,357.20
  4. Step 4: Simplify right side
    230,094.76x = 27,741,327,227.15
  5. Step 5: Solve for x
    x = 27,741,327,227.15/230,094.76
  6. Step 6: Final answer
    x = 120,564.79

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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.