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Finding the Fourth Proportional to 205,255.98, 282,165.90 and 176,469.54

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Solution

The fourth proportional to 205,255.98, 282,165.90 and 176,469.54 is: 242,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,255.98 : 282,165.90 = 176,469.54 : x
  2. Step 2: Convert to fraction form
    205,255.98/282,165.90 = 176,469.54/x
  3. Step 3: Cross multiply
    205,255.98x = 282,165.90 × 176,469.54
  4. Step 4: Simplify right side
    205,255.98x = 49,793,686,576.69
  5. Step 5: Solve for x
    x = 49,793,686,576.69/205,255.98
  6. Step 6: Final answer
    x = 242,593.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.