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Finding the Fourth Proportional to 127,377.84, 175,791.84 and 82,149.96

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Solution

The fourth proportional to 127,377.84, 175,791.84 and 82,149.96 is: 113,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,377.84 : 175,791.84 = 82,149.96 : x
  2. Step 2: Convert to fraction form
    127,377.84/175,791.84 = 82,149.96/x
  3. Step 3: Cross multiply
    127,377.84x = 175,791.84 × 82,149.96
  4. Step 4: Simplify right side
    127,377.84x = 14,441,292,624.33
  5. Step 5: Solve for x
    x = 14,441,292,624.33/127,377.84
  6. Step 6: Final answer
    x = 113,373.67

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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.