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Finding the Fourth Proportional to 137,231.40, 205,847.10 and 67,247.40

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Solution

The fourth proportional to 137,231.40, 205,847.10 and 67,247.40 is: 100,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,231.40 : 205,847.10 = 67,247.40 : x
  2. Step 2: Convert to fraction form
    137,231.40/205,847.10 = 67,247.40/x
  3. Step 3: Cross multiply
    137,231.40x = 205,847.10 × 67,247.40
  4. Step 4: Simplify right side
    137,231.40x = 13,842,682,272.54
  5. Step 5: Solve for x
    x = 13,842,682,272.54/137,231.40
  6. Step 6: Final answer
    x = 100,871.10

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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.