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Finding the Fourth Proportional to 116,965, 161,414.94 and 66,664

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Solution

The fourth proportional to 116,965, 161,414.94 and 66,664 is: 91,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965 : 161,414.94 = 66,664 : x
  2. Step 2: Convert to fraction form
    116,965/161,414.94 = 66,664/x
  3. Step 3: Cross multiply
    116,965x = 161,414.94 × 66,664
  4. Step 4: Simplify right side
    116,965x = 10,760,565,560.16
  5. Step 5: Solve for x
    x = 10,760,565,560.16/116,965
  6. Step 6: Final answer
    x = 91,998.17

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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.