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Finding the Fourth Proportional to 337,147.17, 505,718.91 and 137,466.78

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Solution

The fourth proportional to 337,147.17, 505,718.91 and 137,466.78 is: 206,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,147.17 : 505,718.91 = 137,466.78 : x
  2. Step 2: Convert to fraction form
    337,147.17/505,718.91 = 137,466.78/x
  3. Step 3: Cross multiply
    337,147.17x = 505,718.91 × 137,466.78
  4. Step 4: Simplify right side
    337,147.17x = 69,519,550,142.81
  5. Step 5: Solve for x
    x = 69,519,550,142.81/337,147.17
  6. Step 6: Final answer
    x = 206,199.42

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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.