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Finding the Fourth Proportional to 160,713.44, 221,764.04 and 89,092.80

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Solution

The fourth proportional to 160,713.44, 221,764.04 and 89,092.80 is: 122,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,713.44 : 221,764.04 = 89,092.80 : x
  2. Step 2: Convert to fraction form
    160,713.44/221,764.04 = 89,092.80/x
  3. Step 3: Cross multiply
    160,713.44x = 221,764.04 × 89,092.80
  4. Step 4: Simplify right side
    160,713.44x = 19,757,579,262.91
  5. Step 5: Solve for x
    x = 19,757,579,262.91/160,713.44
  6. Step 6: Final answer
    x = 122,936.70

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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.