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Finding the Fourth Proportional to 268,951.50, 371,153.06 and 148,092.49

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Solution

The fourth proportional to 268,951.50, 371,153.06 and 148,092.49 is: 204,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,951.50 : 371,153.06 = 148,092.49 : x
  2. Step 2: Convert to fraction form
    268,951.50/371,153.06 = 148,092.49/x
  3. Step 3: Cross multiply
    268,951.50x = 371,153.06 × 148,092.49
  4. Step 4: Simplify right side
    268,951.50x = 54,964,980,826.52
  5. Step 5: Solve for x
    x = 54,964,980,826.52/268,951.50
  6. Step 6: Final answer
    x = 204,367.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.