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Finding the Fourth Proportional to 204,267.83, 281,897.63 and 123,649.74

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Solution

The fourth proportional to 204,267.83, 281,897.63 and 123,649.74 is: 170,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,267.83 : 281,897.63 = 123,649.74 : x
  2. Step 2: Convert to fraction form
    204,267.83/281,897.63 = 123,649.74/x
  3. Step 3: Cross multiply
    204,267.83x = 281,897.63 × 123,649.74
  4. Step 4: Simplify right side
    204,267.83x = 34,856,568,037.87
  5. Step 5: Solve for x
    x = 34,856,568,037.87/204,267.83
  6. Step 6: Final answer
    x = 170,641.50

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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.