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Finding the Fourth Proportional to 208,494, 312,793.25 and 96,252.71

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Solution

The fourth proportional to 208,494, 312,793.25 and 96,252.71 is: 144,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494 : 312,793.25 = 96,252.71 : x
  2. Step 2: Convert to fraction form
    208,494/312,793.25 = 96,252.71/x
  3. Step 3: Cross multiply
    208,494x = 312,793.25 × 96,252.71
  4. Step 4: Simplify right side
    208,494x = 30,107,195,936.98
  5. Step 5: Solve for x
    x = 30,107,195,936.98/208,494
  6. Step 6: Final answer
    x = 144,403.18

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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.