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Finding the Fourth Proportional to 200,872.90, 277,203.84 and 110,230.39

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Solution

The fourth proportional to 200,872.90, 277,203.84 and 110,230.39 is: 152,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872.90 : 277,203.84 = 110,230.39 : x
  2. Step 2: Convert to fraction form
    200,872.90/277,203.84 = 110,230.39/x
  3. Step 3: Cross multiply
    200,872.90x = 277,203.84 × 110,230.39
  4. Step 4: Simplify right side
    200,872.90x = 30,556,286,006.68
  5. Step 5: Solve for x
    x = 30,556,286,006.68/200,872.90
  6. Step 6: Final answer
    x = 152,117.52

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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.