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Finding the Fourth Proportional to 130,773.50, 196,189.42 and 47,667.50

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Solution

The fourth proportional to 130,773.50, 196,189.42 and 47,667.50 is: 71,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,773.50 : 196,189.42 = 47,667.50 : x
  2. Step 2: Convert to fraction form
    130,773.50/196,189.42 = 47,667.50/x
  3. Step 3: Cross multiply
    130,773.50x = 196,189.42 × 47,667.50
  4. Step 4: Simplify right side
    130,773.50x = 9,351,859,177.85
  5. Step 5: Solve for x
    x = 9,351,859,177.85/130,773.50
  6. Step 6: Final answer
    x = 71,511.88

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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.