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Finding the Fourth Proportional to 230,023.68, 345,052.26 and 72,250.80

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Solution

The fourth proportional to 230,023.68, 345,052.26 and 72,250.80 is: 108,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,023.68 : 345,052.26 = 72,250.80 : x
  2. Step 2: Convert to fraction form
    230,023.68/345,052.26 = 72,250.80/x
  3. Step 3: Cross multiply
    230,023.68x = 345,052.26 × 72,250.80
  4. Step 4: Simplify right side
    230,023.68x = 24,930,301,826.81
  5. Step 5: Solve for x
    x = 24,930,301,826.81/230,023.68
  6. Step 6: Final answer
    x = 108,381.46

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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.