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Finding the Fourth Proportional to 154,049.80, 231,074.70 and 149,675.80

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Solution

The fourth proportional to 154,049.80, 231,074.70 and 149,675.80 is: 224,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,049.80 : 231,074.70 = 149,675.80 : x
  2. Step 2: Convert to fraction form
    154,049.80/231,074.70 = 149,675.80/x
  3. Step 3: Cross multiply
    154,049.80x = 231,074.70 × 149,675.80
  4. Step 4: Simplify right side
    154,049.80x = 34,586,290,582.26
  5. Step 5: Solve for x
    x = 34,586,290,582.26/154,049.80
  6. Step 6: Final answer
    x = 224,513.70

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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.