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Finding the Fourth Proportional to 204,368.60, 282,053.22 and 123,793.76

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Solution

The fourth proportional to 204,368.60, 282,053.22 and 123,793.76 is: 170,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,368.60 : 282,053.22 = 123,793.76 : x
  2. Step 2: Convert to fraction form
    204,368.60/282,053.22 = 123,793.76/x
  3. Step 3: Cross multiply
    204,368.60x = 282,053.22 × 123,793.76
  4. Step 4: Simplify right side
    204,368.60x = 34,916,428,623.91
  5. Step 5: Solve for x
    x = 34,916,428,623.91/204,368.60
  6. Step 6: Final answer
    x = 170,850.26

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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.