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Finding the Fourth Proportional to 160,414.42, 221,388.39 and 92,433.97

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Solution

The fourth proportional to 160,414.42, 221,388.39 and 92,433.97 is: 127,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,414.42 : 221,388.39 = 92,433.97 : x
  2. Step 2: Convert to fraction form
    160,414.42/221,388.39 = 92,433.97/x
  3. Step 3: Cross multiply
    160,414.42x = 221,388.39 × 92,433.97
  4. Step 4: Simplify right side
    160,414.42x = 20,463,807,799.61
  5. Step 5: Solve for x
    x = 20,463,807,799.61/160,414.42
  6. Step 6: Final answer
    x = 127,568.38

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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.