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Finding the Fourth Proportional to 105,813.36, 146,022.12 and 57,415.11

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Solution

The fourth proportional to 105,813.36, 146,022.12 and 57,415.11 is: 79,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813.36 : 146,022.12 = 57,415.11 : x
  2. Step 2: Convert to fraction form
    105,813.36/146,022.12 = 57,415.11/x
  3. Step 3: Cross multiply
    105,813.36x = 146,022.12 × 57,415.11
  4. Step 4: Simplify right side
    105,813.36x = 8,383,876,082.23
  5. Step 5: Solve for x
    x = 8,383,876,082.23/105,813.36
  6. Step 6: Final answer
    x = 79,232.68

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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.