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Finding the Fourth Proportional to 137,474.10, 206,211.15 and 106,370.10

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Solution

The fourth proportional to 137,474.10, 206,211.15 and 106,370.10 is: 159,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,474.10 : 206,211.15 = 106,370.10 : x
  2. Step 2: Convert to fraction form
    137,474.10/206,211.15 = 106,370.10/x
  3. Step 3: Cross multiply
    137,474.10x = 206,211.15 × 106,370.10
  4. Step 4: Simplify right side
    137,474.10x = 21,934,700,646.62
  5. Step 5: Solve for x
    x = 21,934,700,646.62/137,474.10
  6. Step 6: Final answer
    x = 159,555.15

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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.