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Finding the Fourth Proportional to 261,589.52, 361,103.16 and 176,821.40

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Solution

The fourth proportional to 261,589.52, 361,103.16 and 176,821.40 is: 244,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,589.52 : 361,103.16 = 176,821.40 : x
  2. Step 2: Convert to fraction form
    261,589.52/361,103.16 = 176,821.40/x
  3. Step 3: Cross multiply
    261,589.52x = 361,103.16 × 176,821.40
  4. Step 4: Simplify right side
    261,589.52x = 63,850,766,295.62
  5. Step 5: Solve for x
    x = 63,850,766,295.62/261,589.52
  6. Step 6: Final answer
    x = 244,087.63

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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.