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Finding the Fourth Proportional to 227,794.05, 341,496.63 and 161,024.13

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Solution

The fourth proportional to 227,794.05, 341,496.63 and 161,024.13 is: 241,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,794.05 : 341,496.63 = 161,024.13 : x
  2. Step 2: Convert to fraction form
    227,794.05/341,496.63 = 161,024.13/x
  3. Step 3: Cross multiply
    227,794.05x = 341,496.63 × 161,024.13
  4. Step 4: Simplify right side
    227,794.05x = 54,989,197,743.68
  5. Step 5: Solve for x
    x = 54,989,197,743.68/227,794.05
  6. Step 6: Final answer
    x = 241,398.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.