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Finding the Fourth Proportional to 229,912.97, 317,100.13 and 149,366.43

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Solution

The fourth proportional to 229,912.97, 317,100.13 and 149,366.43 is: 206,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,912.97 : 317,100.13 = 149,366.43 : x
  2. Step 2: Convert to fraction form
    229,912.97/317,100.13 = 149,366.43/x
  3. Step 3: Cross multiply
    229,912.97x = 317,100.13 × 149,366.43
  4. Step 4: Simplify right side
    229,912.97x = 47,364,113,997.22
  5. Step 5: Solve for x
    x = 47,364,113,997.22/229,912.97
  6. Step 6: Final answer
    x = 206,008.89

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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.