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Finding the Fourth Proportional to 200,486.50, 276,671.36 and 109,845.91

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Solution

The fourth proportional to 200,486.50, 276,671.36 and 109,845.91 is: 151,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,486.50 : 276,671.36 = 109,845.91 : x
  2. Step 2: Convert to fraction form
    200,486.50/276,671.36 = 109,845.91/x
  3. Step 3: Cross multiply
    200,486.50x = 276,671.36 × 109,845.91
  4. Step 4: Simplify right side
    200,486.50x = 30,391,217,310.14
  5. Step 5: Solve for x
    x = 30,391,217,310.14/200,486.50
  6. Step 6: Final answer
    x = 151,587.35

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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.