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Finding the Fourth Proportional to 160,983.96, 222,146.74 and 89,358.34

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Solution

The fourth proportional to 160,983.96, 222,146.74 and 89,358.34 is: 123,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,983.96 : 222,146.74 = 89,358.34 : x
  2. Step 2: Convert to fraction form
    160,983.96/222,146.74 = 89,358.34/x
  3. Step 3: Cross multiply
    160,983.96x = 222,146.74 × 89,358.34
  4. Step 4: Simplify right side
    160,983.96x = 19,850,663,922.81
  5. Step 5: Solve for x
    x = 19,850,663,922.81/160,983.96
  6. Step 6: Final answer
    x = 123,308.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.