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Finding the Fourth Proportional to 200,872.40, 277,203.15 and 110,229.89

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Solution

The fourth proportional to 200,872.40, 277,203.15 and 110,229.89 is: 152,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872.40 : 277,203.15 = 110,229.89 : x
  2. Step 2: Convert to fraction form
    200,872.40/277,203.15 = 110,229.89/x
  3. Step 3: Cross multiply
    200,872.40x = 277,203.15 × 110,229.89
  4. Step 4: Simplify right side
    200,872.40x = 30,556,071,346.14
  5. Step 5: Solve for x
    x = 30,556,071,346.14/200,872.40
  6. Step 6: Final answer
    x = 152,116.83

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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.