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Finding the Fourth Proportional to 200,747.16, 277,151.22 and 125,397.72

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Solution

The fourth proportional to 200,747.16, 277,151.22 and 125,397.72 is: 173,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.16 : 277,151.22 = 125,397.72 : x
  2. Step 2: Convert to fraction form
    200,747.16/277,151.22 = 125,397.72/x
  3. Step 3: Cross multiply
    200,747.16x = 277,151.22 × 125,397.72
  4. Step 4: Simplify right side
    200,747.16x = 34,754,131,083.22
  5. Step 5: Solve for x
    x = 34,754,131,083.22/200,747.16
  6. Step 6: Final answer
    x = 173,123.90

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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.