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Finding the Fourth Proportional to 102,716.96, 141,768 and 66,463.04

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Solution

The fourth proportional to 102,716.96, 141,768 and 66,463.04 is: 91,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,716.96 : 141,768 = 66,463.04 : x
  2. Step 2: Convert to fraction form
    102,716.96/141,768 = 66,463.04/x
  3. Step 3: Cross multiply
    102,716.96x = 141,768 × 66,463.04
  4. Step 4: Simplify right side
    102,716.96x = 9,422,332,254.72
  5. Step 5: Solve for x
    x = 9,422,332,254.72/102,716.96
  6. Step 6: Final answer
    x = 91,731.03

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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.