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Finding the Fourth Proportional to 154,338, 231,506.44 and 49,165.44

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Solution

The fourth proportional to 154,338, 231,506.44 and 49,165.44 is: 73,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,338 : 231,506.44 = 49,165.44 : x
  2. Step 2: Convert to fraction form
    154,338/231,506.44 = 49,165.44/x
  3. Step 3: Cross multiply
    154,338x = 231,506.44 × 49,165.44
  4. Step 4: Simplify right side
    154,338x = 11,382,115,985.43
  5. Step 5: Solve for x
    x = 11,382,115,985.43/154,338
  6. Step 6: Final answer
    x = 73,747.98

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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.