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Finding the Fourth Proportional to 160,903, 222,046.14 and 89,294.56

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Solution

The fourth proportional to 160,903, 222,046.14 and 89,294.56 is: 123,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,903 : 222,046.14 = 89,294.56 : x
  2. Step 2: Convert to fraction form
    160,903/222,046.14 = 89,294.56/x
  3. Step 3: Cross multiply
    160,903x = 222,046.14 × 89,294.56
  4. Step 4: Simplify right side
    160,903x = 19,827,512,371.00
  5. Step 5: Solve for x
    x = 19,827,512,371.00/160,903
  6. Step 6: Final answer
    x = 123,226.49

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1.5x scale

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.