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Finding the Fourth Proportional to 208,732.17, 288,050.51 and 113,238.86

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Solution

The fourth proportional to 208,732.17, 288,050.51 and 113,238.86 is: 156,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.17 : 288,050.51 = 113,238.86 : x
  2. Step 2: Convert to fraction form
    208,732.17/288,050.51 = 113,238.86/x
  3. Step 3: Cross multiply
    208,732.17x = 288,050.51 × 113,238.86
  4. Step 4: Simplify right side
    208,732.17x = 32,618,511,374.82
  5. Step 5: Solve for x
    x = 32,618,511,374.82/208,732.17
  6. Step 6: Final answer
    x = 156,269.69

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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.