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Finding the Fourth Proportional to 299,207.33, 412,891.70 and 163,233.19

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Solution

The fourth proportional to 299,207.33, 412,891.70 and 163,233.19 is: 225,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,207.33 : 412,891.70 = 163,233.19 : x
  2. Step 2: Convert to fraction form
    299,207.33/412,891.70 = 163,233.19/x
  3. Step 3: Cross multiply
    299,207.33x = 412,891.70 × 163,233.19
  4. Step 4: Simplify right side
    299,207.33x = 67,397,630,392.75
  5. Step 5: Solve for x
    x = 67,397,630,392.75/299,207.33
  6. Step 6: Final answer
    x = 225,253.94

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