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Finding the Fourth Proportional to 130,765.50, 196,177.41 and 47,659.50

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Solution

The fourth proportional to 130,765.50, 196,177.41 and 47,659.50 is: 71,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,765.50 : 196,177.41 = 47,659.50 : x
  2. Step 2: Convert to fraction form
    130,765.50/196,177.41 = 47,659.50/x
  3. Step 3: Cross multiply
    130,765.50x = 196,177.41 × 47,659.50
  4. Step 4: Simplify right side
    130,765.50x = 9,349,717,271.90
  5. Step 5: Solve for x
    x = 9,349,717,271.90/130,765.50
  6. Step 6: Final answer
    x = 71,499.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.