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Finding the Fourth Proportional to 208,568.52, 312,930.96 and 96,302.52

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Solution

The fourth proportional to 208,568.52, 312,930.96 and 96,302.52 is: 144,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568.52 : 312,930.96 = 96,302.52 : x
  2. Step 2: Convert to fraction form
    208,568.52/312,930.96 = 96,302.52/x
  3. Step 3: Cross multiply
    208,568.52x = 312,930.96 × 96,302.52
  4. Step 4: Simplify right side
    208,568.52x = 30,136,040,034.02
  5. Step 5: Solve for x
    x = 30,136,040,034.02/208,568.52
  6. Step 6: Final answer
    x = 144,489.88

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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.