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Finding the Fourth Proportional to 200,894.42, 277,233.42 and 110,251.85

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Solution

The fourth proportional to 200,894.42, 277,233.42 and 110,251.85 is: 152,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.42 : 277,233.42 = 110,251.85 : x
  2. Step 2: Convert to fraction form
    200,894.42/277,233.42 = 110,251.85/x
  3. Step 3: Cross multiply
    200,894.42x = 277,233.42 × 110,251.85
  4. Step 4: Simplify right side
    200,894.42x = 30,565,496,698.92
  5. Step 5: Solve for x
    x = 30,565,496,698.92/200,894.42
  6. Step 6: Final answer
    x = 152,147.07

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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.