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Finding the Fourth Proportional to 208,042.67, 311,876.67 and 74,829.29

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Solution

The fourth proportional to 208,042.67, 311,876.67 and 74,829.29 is: 112,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.67 : 311,876.67 = 74,829.29 : x
  2. Step 2: Convert to fraction form
    208,042.67/311,876.67 = 74,829.29/x
  3. Step 3: Cross multiply
    208,042.67x = 311,876.67 × 74,829.29
  4. Step 4: Simplify right side
    208,042.67x = 23,337,508,224.28
  5. Step 5: Solve for x
    x = 23,337,508,224.28/208,042.67
  6. Step 6: Final answer
    x = 112,176.55

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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.