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Finding the Fourth Proportional to 268,427.52, 402,589.44 and 102,176.64

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Solution

The fourth proportional to 268,427.52, 402,589.44 and 102,176.64 is: 153,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,427.52 : 402,589.44 = 102,176.64 : x
  2. Step 2: Convert to fraction form
    268,427.52/402,589.44 = 102,176.64/x
  3. Step 3: Cross multiply
    268,427.52x = 402,589.44 × 102,176.64
  4. Step 4: Simplify right side
    268,427.52x = 41,135,236,278.68
  5. Step 5: Solve for x
    x = 41,135,236,278.68/268,427.52
  6. Step 6: Final answer
    x = 153,245.23

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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.