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Finding the Fourth Proportional to 160,945.17, 222,101.56 and 89,328.21

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Solution

The fourth proportional to 160,945.17, 222,101.56 and 89,328.21 is: 123,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,945.17 : 222,101.56 = 89,328.21 : x
  2. Step 2: Convert to fraction form
    160,945.17/222,101.56 = 89,328.21/x
  3. Step 3: Cross multiply
    160,945.17x = 222,101.56 × 89,328.21
  4. Step 4: Simplify right side
    160,945.17x = 19,839,934,793.01
  5. Step 5: Solve for x
    x = 19,839,934,793.01/160,945.17
  6. Step 6: Final answer
    x = 123,271.39

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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.