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Finding the Fourth Proportional to 160,774.66, 241,100.18 and 76,469.86

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Solution

The fourth proportional to 160,774.66, 241,100.18 and 76,469.86 is: 114,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,774.66 : 241,100.18 = 76,469.86 : x
  2. Step 2: Convert to fraction form
    160,774.66/241,100.18 = 76,469.86/x
  3. Step 3: Cross multiply
    160,774.66x = 241,100.18 × 76,469.86
  4. Step 4: Simplify right side
    160,774.66x = 18,436,897,010.57
  5. Step 5: Solve for x
    x = 18,436,897,010.57/160,774.66
  6. Step 6: Final answer
    x = 114,675.39

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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.