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Finding the Fourth Proportional to 160,982.21, 222,178.55 and 96,454.01

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Solution

The fourth proportional to 160,982.21, 222,178.55 and 96,454.01 is: 133,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,982.21 : 222,178.55 = 96,454.01 : x
  2. Step 2: Convert to fraction form
    160,982.21/222,178.55 = 96,454.01/x
  3. Step 3: Cross multiply
    160,982.21x = 222,178.55 × 96,454.01
  4. Step 4: Simplify right side
    160,982.21x = 21,430,010,490.32
  5. Step 5: Solve for x
    x = 21,430,010,490.32/160,982.21
  6. Step 6: Final answer
    x = 133,120.37

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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.