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Finding the Fourth Proportional to 107,382.82, 148,262.42 and 67,114.68

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Solution

The fourth proportional to 107,382.82, 148,262.42 and 67,114.68 is: 92,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,382.82 : 148,262.42 = 67,114.68 : x
  2. Step 2: Convert to fraction form
    107,382.82/148,262.42 = 67,114.68/x
  3. Step 3: Cross multiply
    107,382.82x = 148,262.42 × 67,114.68
  4. Step 4: Simplify right side
    107,382.82x = 9,950,585,042.11
  5. Step 5: Solve for x
    x = 9,950,585,042.11/107,382.82
  6. Step 6: Final answer
    x = 92,664.59

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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.