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Finding the Fourth Proportional to 218,387.29, 327,659.75 and 76,253.50

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Solution

The fourth proportional to 218,387.29, 327,659.75 and 76,253.50 is: 114,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,387.29 : 327,659.75 = 76,253.50 : x
  2. Step 2: Convert to fraction form
    218,387.29/327,659.75 = 76,253.50/x
  3. Step 3: Cross multiply
    218,387.29x = 327,659.75 × 76,253.50
  4. Step 4: Simplify right side
    218,387.29x = 24,985,203,060.88
  5. Step 5: Solve for x
    x = 24,985,203,060.88/218,387.29
  6. Step 6: Final answer
    x = 114,407.77

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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.