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Finding the Fourth Proportional to 231,166.82, 346,651.77 and 90,827

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Solution

The fourth proportional to 231,166.82, 346,651.77 and 90,827 is: 136,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,166.82 : 346,651.77 = 90,827 : x
  2. Step 2: Convert to fraction form
    231,166.82/346,651.77 = 90,827/x
  3. Step 3: Cross multiply
    231,166.82x = 346,651.77 × 90,827
  4. Step 4: Simplify right side
    231,166.82x = 31,485,340,313.79
  5. Step 5: Solve for x
    x = 31,485,340,313.79/231,166.82
  6. Step 6: Final answer
    x = 136,201.81

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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.