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Finding the Fourth Proportional to 154,577.70, 231,866.55 and 75,845.70

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Solution

The fourth proportional to 154,577.70, 231,866.55 and 75,845.70 is: 113,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,577.70 : 231,866.55 = 75,845.70 : x
  2. Step 2: Convert to fraction form
    154,577.70/231,866.55 = 75,845.70/x
  3. Step 3: Cross multiply
    154,577.70x = 231,866.55 × 75,845.70
  4. Step 4: Simplify right side
    154,577.70x = 17,586,080,791.34
  5. Step 5: Solve for x
    x = 17,586,080,791.34/154,577.70
  6. Step 6: Final answer
    x = 113,768.55

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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.