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Finding the Fourth Proportional to 200,894.76, 277,235.28 and 110,251.44

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Solution

The fourth proportional to 200,894.76, 277,235.28 and 110,251.44 is: 152,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.76 : 277,235.28 = 110,251.44 : x
  2. Step 2: Convert to fraction form
    200,894.76/277,235.28 = 110,251.44/x
  3. Step 3: Cross multiply
    200,894.76x = 277,235.28 × 110,251.44
  4. Step 4: Simplify right side
    200,894.76x = 30,565,588,838.80
  5. Step 5: Solve for x
    x = 30,565,588,838.80/200,894.76
  6. Step 6: Final answer
    x = 152,147.27

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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.