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Finding the Fourth Proportional to 209,217.90, 288,717.30 and 113,727

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Solution

The fourth proportional to 209,217.90, 288,717.30 and 113,727 is: 156,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,217.90 : 288,717.30 = 113,727 : x
  2. Step 2: Convert to fraction form
    209,217.90/288,717.30 = 113,727/x
  3. Step 3: Cross multiply
    209,217.90x = 288,717.30 × 113,727
  4. Step 4: Simplify right side
    209,217.90x = 32,834,952,377.10
  5. Step 5: Solve for x
    x = 32,834,952,377.10/209,217.90
  6. Step 6: Final answer
    x = 156,941.41

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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.