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Finding the Fourth Proportional to 229,912.53, 317,099.54 and 149,366

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Solution

The fourth proportional to 229,912.53, 317,099.54 and 149,366 is: 206,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,912.53 : 317,099.54 = 149,366 : x
  2. Step 2: Convert to fraction form
    229,912.53/317,099.54 = 149,366/x
  3. Step 3: Cross multiply
    229,912.53x = 317,099.54 × 149,366
  4. Step 4: Simplify right side
    229,912.53x = 47,363,889,891.64
  5. Step 5: Solve for x
    x = 47,363,889,891.64/229,912.53
  6. Step 6: Final answer
    x = 206,008.30

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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.