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Finding the Fourth Proportional to 160,926.48, 222,105.12 and 89,329.44

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Solution

The fourth proportional to 160,926.48, 222,105.12 and 89,329.44 is: 123,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,926.48 : 222,105.12 = 89,329.44 : x
  2. Step 2: Convert to fraction form
    160,926.48/222,105.12 = 89,329.44/x
  3. Step 3: Cross multiply
    160,926.48x = 222,105.12 × 89,329.44
  4. Step 4: Simplify right side
    160,926.48x = 19,840,525,990.73
  5. Step 5: Solve for x
    x = 19,840,525,990.73/160,926.48
  6. Step 6: Final answer
    x = 123,289.38

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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.