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Finding the Fourth Proportional to 231,205.97, 346,815.11 and 81,412.19

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Solution

The fourth proportional to 231,205.97, 346,815.11 and 81,412.19 is: 122,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,205.97 : 346,815.11 = 81,412.19 : x
  2. Step 2: Convert to fraction form
    231,205.97/346,815.11 = 81,412.19/x
  3. Step 3: Cross multiply
    231,205.97x = 346,815.11 × 81,412.19
  4. Step 4: Simplify right side
    231,205.97x = 28,234,977,630.19
  5. Step 5: Solve for x
    x = 28,234,977,630.19/231,205.97
  6. Step 6: Final answer
    x = 122,120.45

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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.