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Finding the Fourth Proportional to 160,904, 222,047.52 and 89,295.56

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Solution

The fourth proportional to 160,904, 222,047.52 and 89,295.56 is: 123,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,904 : 222,047.52 = 89,295.56 : x
  2. Step 2: Convert to fraction form
    160,904/222,047.52 = 89,295.56/x
  3. Step 3: Cross multiply
    160,904x = 222,047.52 × 89,295.56
  4. Step 4: Simplify right side
    160,904x = 19,827,857,645.01
  5. Step 5: Solve for x
    x = 19,827,857,645.01/160,904
  6. Step 6: Final answer
    x = 123,227.87

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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.