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Finding the Fourth Proportional to 160,824.62, 221,927.10 and 89,201.90

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Solution

The fourth proportional to 160,824.62, 221,927.10 and 89,201.90 is: 123,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,824.62 : 221,927.10 = 89,201.90 : x
  2. Step 2: Convert to fraction form
    160,824.62/221,927.10 = 89,201.90/x
  3. Step 3: Cross multiply
    160,824.62x = 221,927.10 × 89,201.90
  4. Step 4: Simplify right side
    160,824.62x = 19,796,318,981.49
  5. Step 5: Solve for x
    x = 19,796,318,981.49/160,824.62
  6. Step 6: Final answer
    x = 123,092.59

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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.