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Finding the Fourth Proportional to 218,103.31, 327,207.35 and 75,927.66

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Solution

The fourth proportional to 218,103.31, 327,207.35 and 75,927.66 is: 113,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,103.31 : 327,207.35 = 75,927.66 : x
  2. Step 2: Convert to fraction form
    218,103.31/327,207.35 = 75,927.66/x
  3. Step 3: Cross multiply
    218,103.31x = 327,207.35 × 75,927.66
  4. Step 4: Simplify right side
    218,103.31x = 24,844,088,420.30
  5. Step 5: Solve for x
    x = 24,844,088,420.30/218,103.31
  6. Step 6: Final answer
    x = 113,909.73

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1.5x scale

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.