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Finding the Fourth Proportional to 68,191.68, 102,298.54 and 20,165.16

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Solution

The fourth proportional to 68,191.68, 102,298.54 and 20,165.16 is: 30,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,191.68 : 102,298.54 = 20,165.16 : x
  2. Step 2: Convert to fraction form
    68,191.68/102,298.54 = 20,165.16/x
  3. Step 3: Cross multiply
    68,191.68x = 102,298.54 × 20,165.16
  4. Step 4: Simplify right side
    68,191.68x = 2,062,866,426.87
  5. Step 5: Solve for x
    x = 2,062,866,426.87/68,191.68
  6. Step 6: Final answer
    x = 30,251.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.