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Finding the Fourth Proportional to 208,229.16, 312,357.42 and 83,553.96

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Solution

The fourth proportional to 208,229.16, 312,357.42 and 83,553.96 is: 125,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,229.16 : 312,357.42 = 83,553.96 : x
  2. Step 2: Convert to fraction form
    208,229.16/312,357.42 = 83,553.96/x
  3. Step 3: Cross multiply
    208,229.16x = 312,357.42 × 83,553.96
  4. Step 4: Simplify right side
    208,229.16x = 26,098,699,376.38
  5. Step 5: Solve for x
    x = 26,098,699,376.38/208,229.16
  6. Step 6: Final answer
    x = 125,336.43

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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.