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Finding the Fourth Proportional to 208,732.56, 288,049.32 and 113,238.96

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Solution

The fourth proportional to 208,732.56, 288,049.32 and 113,238.96 is: 156,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.56 : 288,049.32 = 113,238.96 : x
  2. Step 2: Convert to fraction form
    208,732.56/288,049.32 = 113,238.96/x
  3. Step 3: Cross multiply
    208,732.56x = 288,049.32 × 113,238.96
  4. Step 4: Simplify right side
    208,732.56x = 32,618,405,425.51
  5. Step 5: Solve for x
    x = 32,618,405,425.51/208,732.56
  6. Step 6: Final answer
    x = 156,268.89

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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.