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Finding the Fourth Proportional to 137,783, 206,481.96 and 74,466.62

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Solution

The fourth proportional to 137,783, 206,481.96 and 74,466.62 is: 111,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783 : 206,481.96 = 74,466.62 : x
  2. Step 2: Convert to fraction form
    137,783/206,481.96 = 74,466.62/x
  3. Step 3: Cross multiply
    137,783x = 206,481.96 × 74,466.62
  4. Step 4: Simplify right side
    137,783x = 15,376,013,652.18
  5. Step 5: Solve for x
    x = 15,376,013,652.18/137,783
  6. Step 6: Final answer
    x = 111,595.87

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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.