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Finding the Fourth Proportional to 160,970.72, 222,115.92 and 89,351.28

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Solution

The fourth proportional to 160,970.72, 222,115.92 and 89,351.28 is: 123,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970.72 : 222,115.92 = 89,351.28 : x
  2. Step 2: Convert to fraction form
    160,970.72/222,115.92 = 89,351.28/x
  3. Step 3: Cross multiply
    160,970.72x = 222,115.92 × 89,351.28
  4. Step 4: Simplify right side
    160,970.72x = 19,846,341,760.38
  5. Step 5: Solve for x
    x = 19,846,341,760.38/160,970.72
  6. Step 6: Final answer
    x = 123,291.63

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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.