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Finding the Fourth Proportional to 208,723.50, 288,039 and 113,230.20

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Solution

The fourth proportional to 208,723.50, 288,039 and 113,230.20 is: 156,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,723.50 : 288,039 = 113,230.20 : x
  2. Step 2: Convert to fraction form
    208,723.50/288,039 = 113,230.20/x
  3. Step 3: Cross multiply
    208,723.50x = 288,039 × 113,230.20
  4. Step 4: Simplify right side
    208,723.50x = 32,614,713,577.80
  5. Step 5: Solve for x
    x = 32,614,713,577.80/208,723.50
  6. Step 6: Final answer
    x = 156,257.99

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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.