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Finding the Fourth Proportional to 204,385.60, 282,057.60 and 123,796

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Solution

The fourth proportional to 204,385.60, 282,057.60 and 123,796 is: 170,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,385.60 : 282,057.60 = 123,796 : x
  2. Step 2: Convert to fraction form
    204,385.60/282,057.60 = 123,796/x
  3. Step 3: Cross multiply
    204,385.60x = 282,057.60 × 123,796
  4. Step 4: Simplify right side
    204,385.60x = 34,917,602,649.60
  5. Step 5: Solve for x
    x = 34,917,602,649.60/204,385.60
  6. Step 6: Final answer
    x = 170,841.79

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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.