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Finding the Fourth Proportional to 208,998.39, 288,419.90 and 113,506.95

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Solution

The fourth proportional to 208,998.39, 288,419.90 and 113,506.95 is: 156,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,998.39 : 288,419.90 = 113,506.95 : x
  2. Step 2: Convert to fraction form
    208,998.39/288,419.90 = 113,506.95/x
  3. Step 3: Cross multiply
    208,998.39x = 288,419.90 × 113,506.95
  4. Step 4: Simplify right side
    208,998.39x = 32,737,663,168.31
  5. Step 5: Solve for x
    x = 32,737,663,168.31/208,998.39
  6. Step 6: Final answer
    x = 156,640.74

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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.