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Finding the Fourth Proportional to 160,832.33, 221,944.32 and 92,847

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Solution

The fourth proportional to 160,832.33, 221,944.32 and 92,847 is: 128,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,832.33 : 221,944.32 = 92,847 : x
  2. Step 2: Convert to fraction form
    160,832.33/221,944.32 = 92,847/x
  3. Step 3: Cross multiply
    160,832.33x = 221,944.32 × 92,847
  4. Step 4: Simplify right side
    160,832.33x = 20,606,864,279.04
  5. Step 5: Solve for x
    x = 20,606,864,279.04/160,832.33
  6. Step 6: Final answer
    x = 128,126.38

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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.