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Finding the Fourth Proportional to 116,920.24, 161,353.56 and 66,616

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Solution

The fourth proportional to 116,920.24, 161,353.56 and 66,616 is: 91,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,920.24 : 161,353.56 = 66,616 : x
  2. Step 2: Convert to fraction form
    116,920.24/161,353.56 = 66,616/x
  3. Step 3: Cross multiply
    116,920.24x = 161,353.56 × 66,616
  4. Step 4: Simplify right side
    116,920.24x = 10,748,728,752.96
  5. Step 5: Solve for x
    x = 10,748,728,752.96/116,920.24
  6. Step 6: Final answer
    x = 91,932.15

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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.