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Finding the Fourth Proportional to 200,733.78, 301,217.28 and 89,925.78

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Solution

The fourth proportional to 200,733.78, 301,217.28 and 89,925.78 is: 134,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733.78 : 301,217.28 = 89,925.78 : x
  2. Step 2: Convert to fraction form
    200,733.78/301,217.28 = 89,925.78/x
  3. Step 3: Cross multiply
    200,733.78x = 301,217.28 × 89,925.78
  4. Step 4: Simplify right side
    200,733.78x = 27,087,198,853.48
  5. Step 5: Solve for x
    x = 27,087,198,853.48/200,733.78
  6. Step 6: Final answer
    x = 134,940.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.