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Finding the Fourth Proportional to 228,808.47, 315,568.47 and 161,049.75

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Solution

The fourth proportional to 228,808.47, 315,568.47 and 161,049.75 is: 222,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,808.47 : 315,568.47 = 161,049.75 : x
  2. Step 2: Convert to fraction form
    228,808.47/315,568.47 = 161,049.75/x
  3. Step 3: Cross multiply
    228,808.47x = 315,568.47 × 161,049.75
  4. Step 4: Simplify right side
    228,808.47x = 50,822,223,201.38
  5. Step 5: Solve for x
    x = 50,822,223,201.38/228,808.47
  6. Step 6: Final answer
    x = 222,116.88

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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.