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Finding the Fourth Proportional to 135,382.84, 186,822.24 and 74,949.24

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Solution

The fourth proportional to 135,382.84, 186,822.24 and 74,949.24 is: 103,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,382.84 : 186,822.24 = 74,949.24 : x
  2. Step 2: Convert to fraction form
    135,382.84/186,822.24 = 74,949.24/x
  3. Step 3: Cross multiply
    135,382.84x = 186,822.24 × 74,949.24
  4. Step 4: Simplify right side
    135,382.84x = 14,002,184,903.10
  5. Step 5: Solve for x
    x = 14,002,184,903.10/135,382.84
  6. Step 6: Final answer
    x = 103,426.59

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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.