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Finding the Fourth Proportional to 200,937.74, 277,524.22 and 132,333.87

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Solution

The fourth proportional to 200,937.74, 277,524.22 and 132,333.87 is: 182,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,937.74 : 277,524.22 = 132,333.87 : x
  2. Step 2: Convert to fraction form
    200,937.74/277,524.22 = 132,333.87/x
  3. Step 3: Cross multiply
    200,937.74x = 277,524.22 × 132,333.87
  4. Step 4: Simplify right side
    200,937.74x = 36,725,853,389.66
  5. Step 5: Solve for x
    x = 36,725,853,389.66/200,937.74
  6. Step 6: Final answer
    x = 182,772.31

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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.