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Finding the Fourth Proportional to 208,858.52, 288,217.06 and 113,363.17

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Solution

The fourth proportional to 208,858.52, 288,217.06 and 113,363.17 is: 156,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.52 : 288,217.06 = 113,363.17 : x
  2. Step 2: Convert to fraction form
    208,858.52/288,217.06 = 113,363.17/x
  3. Step 3: Cross multiply
    208,858.52x = 288,217.06 × 113,363.17
  4. Step 4: Simplify right side
    208,858.52x = 32,673,198,565.73
  5. Step 5: Solve for x
    x = 32,673,198,565.73/208,858.52
  6. Step 6: Final answer
    x = 156,436.99

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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.