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Finding the Fourth Proportional to 130,793.50, 196,219.41 and 47,687.50

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Solution

The fourth proportional to 130,793.50, 196,219.41 and 47,687.50 is: 71,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,793.50 : 196,219.41 = 47,687.50 : x
  2. Step 2: Convert to fraction form
    130,793.50/196,219.41 = 47,687.50/x
  3. Step 3: Cross multiply
    130,793.50x = 196,219.41 × 47,687.50
  4. Step 4: Simplify right side
    130,793.50x = 9,357,213,114.38
  5. Step 5: Solve for x
    x = 9,357,213,114.38/130,793.50
  6. Step 6: Final answer
    x = 71,541.88

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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.