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Finding the Fourth Proportional to 229,846.30, 344,963.85 and 103,680.70

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Solution

The fourth proportional to 229,846.30, 344,963.85 and 103,680.70 is: 155,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,846.30 : 344,963.85 = 103,680.70 : x
  2. Step 2: Convert to fraction form
    229,846.30/344,963.85 = 103,680.70/x
  3. Step 3: Cross multiply
    229,846.30x = 344,963.85 × 103,680.70
  4. Step 4: Simplify right side
    229,846.30x = 35,766,093,442.70
  5. Step 5: Solve for x
    x = 35,766,093,442.70/229,846.30
  6. Step 6: Final answer
    x = 155,608.74

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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.