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Finding the Fourth Proportional to 231,205.96, 346,801.13 and 81,442.34

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Solution

The fourth proportional to 231,205.96, 346,801.13 and 81,442.34 is: 122,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,205.96 : 346,801.13 = 81,442.34 : x
  2. Step 2: Convert to fraction form
    231,205.96/346,801.13 = 81,442.34/x
  3. Step 3: Cross multiply
    231,205.96x = 346,801.13 × 81,442.34
  4. Step 4: Simplify right side
    231,205.96x = 28,244,294,369.43
  5. Step 5: Solve for x
    x = 28,244,294,369.43/231,205.96
  6. Step 6: Final answer
    x = 122,160.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.