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Finding the Fourth Proportional to 71,202.60, 106,880.70 and 40,098.60

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Solution

The fourth proportional to 71,202.60, 106,880.70 and 40,098.60 is: 60,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.60 : 106,880.70 = 40,098.60 : x
  2. Step 2: Convert to fraction form
    71,202.60/106,880.70 = 40,098.60/x
  3. Step 3: Cross multiply
    71,202.60x = 106,880.70 × 40,098.60
  4. Step 4: Simplify right side
    71,202.60x = 4,285,766,437.02
  5. Step 5: Solve for x
    x = 4,285,766,437.02/71,202.60
  6. Step 6: Final answer
    x = 60,191.15

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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.