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Finding the Fourth Proportional to 131,961.76, 182,109.24 and 75,373.24

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Solution

The fourth proportional to 131,961.76, 182,109.24 and 75,373.24 is: 104,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,961.76 : 182,109.24 = 75,373.24 : x
  2. Step 2: Convert to fraction form
    131,961.76/182,109.24 = 75,373.24/x
  3. Step 3: Cross multiply
    131,961.76x = 182,109.24 × 75,373.24
  4. Step 4: Simplify right side
    131,961.76x = 13,726,163,452.74
  5. Step 5: Solve for x
    x = 13,726,163,452.74/131,961.76
  6. Step 6: Final answer
    x = 104,016.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.