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Finding the Fourth Proportional to 193,112.52, 289,669.16 and 82,304.52

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Solution

The fourth proportional to 193,112.52, 289,669.16 and 82,304.52 is: 123,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,112.52 : 289,669.16 = 82,304.52 : x
  2. Step 2: Convert to fraction form
    193,112.52/289,669.16 = 82,304.52/x
  3. Step 3: Cross multiply
    193,112.52x = 289,669.16 × 82,304.52
  4. Step 4: Simplify right side
    193,112.52x = 23,841,081,172.60
  5. Step 5: Solve for x
    x = 23,841,081,172.60/193,112.52
  6. Step 6: Final answer
    x = 123,456.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.