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Finding the Fourth Proportional to 130,991.67, 180,768.42 and 71,375.67

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Solution

The fourth proportional to 130,991.67, 180,768.42 and 71,375.67 is: 98,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,991.67 : 180,768.42 = 71,375.67 : x
  2. Step 2: Convert to fraction form
    130,991.67/180,768.42 = 71,375.67/x
  3. Step 3: Cross multiply
    130,991.67x = 180,768.42 × 71,375.67
  4. Step 4: Simplify right side
    130,991.67x = 12,902,467,092.34
  5. Step 5: Solve for x
    x = 12,902,467,092.34/130,991.67
  6. Step 6: Final answer
    x = 98,498.38

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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.