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Finding the Fourth Proportional to 106,978.26, 160,408.26 and 73,282.86

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Solution

The fourth proportional to 106,978.26, 160,408.26 and 73,282.86 is: 109,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.26 : 160,408.26 = 73,282.86 : x
  2. Step 2: Convert to fraction form
    106,978.26/160,408.26 = 73,282.86/x
  3. Step 3: Cross multiply
    106,978.26x = 160,408.26 × 73,282.86
  4. Step 4: Simplify right side
    106,978.26x = 11,755,176,060.42
  5. Step 5: Solve for x
    x = 11,755,176,060.42/106,978.26
  6. Step 6: Final answer
    x = 109,883.78

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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.