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Finding the Fourth Proportional to 275,432.40, 413,148.60 and 149,023.80

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Solution

The fourth proportional to 275,432.40, 413,148.60 and 149,023.80 is: 223,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,432.40 : 413,148.60 = 149,023.80 : x
  2. Step 2: Convert to fraction form
    275,432.40/413,148.60 = 149,023.80/x
  3. Step 3: Cross multiply
    275,432.40x = 413,148.60 × 149,023.80
  4. Step 4: Simplify right side
    275,432.40x = 61,568,974,336.68
  5. Step 5: Solve for x
    x = 61,568,974,336.68/275,432.40
  6. Step 6: Final answer
    x = 223,535.70

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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.