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Finding the Fourth Proportional to 110,902.40, 166,375.20 and 47,722.40

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Solution

The fourth proportional to 110,902.40, 166,375.20 and 47,722.40 is: 71,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902.40 : 166,375.20 = 47,722.40 : x
  2. Step 2: Convert to fraction form
    110,902.40/166,375.20 = 47,722.40/x
  3. Step 3: Cross multiply
    110,902.40x = 166,375.20 × 47,722.40
  4. Step 4: Simplify right side
    110,902.40x = 7,939,823,844.48
  5. Step 5: Solve for x
    x = 7,939,823,844.48/110,902.40
  6. Step 6: Final answer
    x = 71,592.89

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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.