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Finding the Fourth Proportional to 232,702.65, 321,167.78 and 193,878.95

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Solution

The fourth proportional to 232,702.65, 321,167.78 and 193,878.95 is: 267,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,702.65 : 321,167.78 = 193,878.95 : x
  2. Step 2: Convert to fraction form
    232,702.65/321,167.78 = 193,878.95/x
  3. Step 3: Cross multiply
    232,702.65x = 321,167.78 × 193,878.95
  4. Step 4: Simplify right side
    232,702.65x = 62,267,669,385.00
  5. Step 5: Solve for x
    x = 62,267,669,385.00/232,702.65
  6. Step 6: Final answer
    x = 267,584.70

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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.