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Finding the Fourth Proportional to 160,431.82, 221,408.20 and 91,522.80

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Solution

The fourth proportional to 160,431.82, 221,408.20 and 91,522.80 is: 126,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,431.82 : 221,408.20 = 91,522.80 : x
  2. Step 2: Convert to fraction form
    160,431.82/221,408.20 = 91,522.80/x
  3. Step 3: Cross multiply
    160,431.82x = 221,408.20 × 91,522.80
  4. Step 4: Simplify right side
    160,431.82x = 20,263,898,521.36
  5. Step 5: Solve for x
    x = 20,263,898,521.36/160,431.82
  6. Step 6: Final answer
    x = 126,308.48

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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.