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Finding the Fourth Proportional to 253,471.08, 380,290.86 and 85,008

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Solution

The fourth proportional to 253,471.08, 380,290.86 and 85,008 is: 127,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.08 : 380,290.86 = 85,008 : x
  2. Step 2: Convert to fraction form
    253,471.08/380,290.86 = 85,008/x
  3. Step 3: Cross multiply
    253,471.08x = 380,290.86 × 85,008
  4. Step 4: Simplify right side
    253,471.08x = 32,327,765,426.88
  5. Step 5: Solve for x
    x = 32,327,765,426.88/253,471.08
  6. Step 6: Final answer
    x = 127,540.25

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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.