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Finding the Fourth Proportional to 229,960.53, 317,165.48 and 149,414.22

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Solution

The fourth proportional to 229,960.53, 317,165.48 and 149,414.22 is: 206,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,960.53 : 317,165.48 = 149,414.22 : x
  2. Step 2: Convert to fraction form
    229,960.53/317,165.48 = 149,414.22/x
  3. Step 3: Cross multiply
    229,960.53x = 317,165.48 × 149,414.22
  4. Step 4: Simplify right side
    229,960.53x = 47,389,032,058.05
  5. Step 5: Solve for x
    x = 47,389,032,058.05/229,960.53
  6. Step 6: Final answer
    x = 206,074.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.