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Finding the Fourth Proportional to 218,292.50, 327,493.25 and 76,139.82

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Solution

The fourth proportional to 218,292.50, 327,493.25 and 76,139.82 is: 114,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,292.50 : 327,493.25 = 76,139.82 : x
  2. Step 2: Convert to fraction form
    218,292.50/327,493.25 = 76,139.82/x
  3. Step 3: Cross multiply
    218,292.50x = 327,493.25 × 76,139.82
  4. Step 4: Simplify right side
    218,292.50x = 24,935,277,106.22
  5. Step 5: Solve for x
    x = 24,935,277,106.22/218,292.50
  6. Step 6: Final answer
    x = 114,228.74

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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.