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Finding the Fourth Proportional to 200,467.48, 276,645.46 and 109,821.46

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Solution

The fourth proportional to 200,467.48, 276,645.46 and 109,821.46 is: 151,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,467.48 : 276,645.46 = 109,821.46 : x
  2. Step 2: Convert to fraction form
    200,467.48/276,645.46 = 109,821.46/x
  3. Step 3: Cross multiply
    200,467.48x = 276,645.46 × 109,821.46
  4. Step 4: Simplify right side
    200,467.48x = 30,381,608,319.57
  5. Step 5: Solve for x
    x = 30,381,608,319.57/200,467.48
  6. Step 6: Final answer
    x = 151,553.80

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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.