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Finding the Fourth Proportional to 137,744.10, 206,616.15 and 137,744.10

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Solution

The fourth proportional to 137,744.10, 206,616.15 and 137,744.10 is: 206,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,744.10 : 206,616.15 = 137,744.10 : x
  2. Step 2: Convert to fraction form
    137,744.10/206,616.15 = 137,744.10/x
  3. Step 3: Cross multiply
    137,744.10x = 206,616.15 × 137,744.10
  4. Step 4: Simplify right side
    137,744.10x = 28,460,155,627.22
  5. Step 5: Solve for x
    x = 28,460,155,627.22/137,744.10
  6. Step 6: Final answer
    x = 206,616.15

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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.