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Finding the Fourth Proportional to 154,559.80, 231,839.70 and 150,185.80

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Solution

The fourth proportional to 154,559.80, 231,839.70 and 150,185.80 is: 225,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,559.80 : 231,839.70 = 150,185.80 : x
  2. Step 2: Convert to fraction form
    154,559.80/231,839.70 = 150,185.80/x
  3. Step 3: Cross multiply
    154,559.80x = 231,839.70 × 150,185.80
  4. Step 4: Simplify right side
    154,559.80x = 34,819,030,816.26
  5. Step 5: Solve for x
    x = 34,819,030,816.26/154,559.80
  6. Step 6: Final answer
    x = 225,278.70

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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.