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Finding the Fourth Proportional to 200,874.40, 277,205.90 and 110,231.88

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Solution

The fourth proportional to 200,874.40, 277,205.90 and 110,231.88 is: 152,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,874.40 : 277,205.90 = 110,231.88 : x
  2. Step 2: Convert to fraction form
    200,874.40/277,205.90 = 110,231.88/x
  3. Step 3: Cross multiply
    200,874.40x = 277,205.90 × 110,231.88
  4. Step 4: Simplify right side
    200,874.40x = 30,556,927,504.09
  5. Step 5: Solve for x
    x = 30,556,927,504.09/200,874.40
  6. Step 6: Final answer
    x = 152,119.57

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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.