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Finding the Fourth Proportional to 209,107.78, 288,569.11 and 113,614.58

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Solution

The fourth proportional to 209,107.78, 288,569.11 and 113,614.58 is: 156,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,107.78 : 288,569.11 = 113,614.58 : x
  2. Step 2: Convert to fraction form
    209,107.78/288,569.11 = 113,614.58/x
  3. Step 3: Cross multiply
    209,107.78x = 288,569.11 × 113,614.58
  4. Step 4: Simplify right side
    209,107.78x = 32,785,658,233.62
  5. Step 5: Solve for x
    x = 32,785,658,233.62/209,107.78
  6. Step 6: Final answer
    x = 156,788.32

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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.