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Finding the Fourth Proportional to 208,080.68, 311,933.64 and 74,867.28

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Solution

The fourth proportional to 208,080.68, 311,933.64 and 74,867.28 is: 112,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,080.68 : 311,933.64 = 74,867.28 : x
  2. Step 2: Convert to fraction form
    208,080.68/311,933.64 = 74,867.28/x
  3. Step 3: Cross multiply
    208,080.68x = 311,933.64 × 74,867.28
  4. Step 4: Simplify right side
    208,080.68x = 23,353,623,167.30
  5. Step 5: Solve for x
    x = 23,353,623,167.30/208,080.68
  6. Step 6: Final answer
    x = 112,233.50

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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.