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Finding the Fourth Proportional to 200,876.76, 277,209.12 and 110,234.24

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Solution

The fourth proportional to 200,876.76, 277,209.12 and 110,234.24 is: 152,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,876.76 : 277,209.12 = 110,234.24 : x
  2. Step 2: Convert to fraction form
    200,876.76/277,209.12 = 110,234.24/x
  3. Step 3: Cross multiply
    200,876.76x = 277,209.12 × 110,234.24
  4. Step 4: Simplify right side
    200,876.76x = 30,557,936,664.27
  5. Step 5: Solve for x
    x = 30,557,936,664.27/200,876.76
  6. Step 6: Final answer
    x = 152,122.81

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1.5x scale

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.