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Finding the Fourth Proportional to 208,966.29, 313,502.49 and 96,727.47

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Solution

The fourth proportional to 208,966.29, 313,502.49 and 96,727.47 is: 145,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966.29 : 313,502.49 = 96,727.47 : x
  2. Step 2: Convert to fraction form
    208,966.29/313,502.49 = 96,727.47/x
  3. Step 3: Cross multiply
    208,966.29x = 313,502.49 × 96,727.47
  4. Step 4: Simplify right side
    208,966.29x = 30,324,302,696.40
  5. Step 5: Solve for x
    x = 30,324,302,696.40/208,966.29
  6. Step 6: Final answer
    x = 145,115.76

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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.