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Finding the Fourth Proportional to 242,102.31, 363,211.82 and 75,890.31

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Solution

The fourth proportional to 242,102.31, 363,211.82 and 75,890.31 is: 113,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,102.31 : 363,211.82 = 75,890.31 : x
  2. Step 2: Convert to fraction form
    242,102.31/363,211.82 = 75,890.31/x
  3. Step 3: Cross multiply
    242,102.31x = 363,211.82 × 75,890.31
  4. Step 4: Simplify right side
    242,102.31x = 27,564,257,615.46
  5. Step 5: Solve for x
    x = 27,564,257,615.46/242,102.31
  6. Step 6: Final answer
    x = 113,853.76

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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.