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Finding the Fourth Proportional to 209,292.50, 288,826.90 and 113,799.44

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Solution

The fourth proportional to 209,292.50, 288,826.90 and 113,799.44 is: 157,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292.50 : 288,826.90 = 113,799.44 : x
  2. Step 2: Convert to fraction form
    209,292.50/288,826.90 = 113,799.44/x
  3. Step 3: Cross multiply
    209,292.50x = 288,826.90 × 113,799.44
  4. Step 4: Simplify right side
    209,292.50x = 32,868,339,476.94
  5. Step 5: Solve for x
    x = 32,868,339,476.94/209,292.50
  6. Step 6: Final answer
    x = 157,044.99

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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.