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Finding the Fourth Proportional to 218,008.99, 327,004.30 and 75,886.66

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Solution

The fourth proportional to 218,008.99, 327,004.30 and 75,886.66 is: 113,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,008.99 : 327,004.30 = 75,886.66 : x
  2. Step 2: Convert to fraction form
    218,008.99/327,004.30 = 75,886.66/x
  3. Step 3: Cross multiply
    218,008.99x = 327,004.30 × 75,886.66
  4. Step 4: Simplify right side
    218,008.99x = 24,815,264,132.64
  5. Step 5: Solve for x
    x = 24,815,264,132.64/218,008.99
  6. Step 6: Final answer
    x = 113,826.79

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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.