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Finding the Fourth Proportional to 160,822.62, 221,924.34 and 89,199.90

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Solution

The fourth proportional to 160,822.62, 221,924.34 and 89,199.90 is: 123,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,822.62 : 221,924.34 = 89,199.90 : x
  2. Step 2: Convert to fraction form
    160,822.62/221,924.34 = 89,199.90/x
  3. Step 3: Cross multiply
    160,822.62x = 221,924.34 × 89,199.90
  4. Step 4: Simplify right side
    160,822.62x = 19,795,628,935.57
  5. Step 5: Solve for x
    x = 19,795,628,935.57/160,822.62
  6. Step 6: Final answer
    x = 123,089.83

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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.