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Finding the Fourth Proportional to 257,023.20, 385,342.80 and 132,453.60

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Solution

The fourth proportional to 257,023.20, 385,342.80 and 132,453.60 is: 198,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.20 : 385,342.80 = 132,453.60 : x
  2. Step 2: Convert to fraction form
    257,023.20/385,342.80 = 132,453.60/x
  3. Step 3: Cross multiply
    257,023.20x = 385,342.80 × 132,453.60
  4. Step 4: Simplify right side
    257,023.20x = 51,040,041,094.08
  5. Step 5: Solve for x
    x = 51,040,041,094.08/257,023.20
  6. Step 6: Final answer
    x = 198,581.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.