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Finding the Fourth Proportional to 207,384.60, 311,115.30 and 67,147.80

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Solution

The fourth proportional to 207,384.60, 311,115.30 and 67,147.80 is: 100,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,384.60 : 311,115.30 = 67,147.80 : x
  2. Step 2: Convert to fraction form
    207,384.60/311,115.30 = 67,147.80/x
  3. Step 3: Cross multiply
    207,384.60x = 311,115.30 × 67,147.80
  4. Step 4: Simplify right side
    207,384.60x = 20,890,707,941.34
  5. Step 5: Solve for x
    x = 20,890,707,941.34/207,384.60
  6. Step 6: Final answer
    x = 100,734.13

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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.