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Finding the Fourth Proportional to 209,597.01, 289,235.17 and 114,103.78

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Solution

The fourth proportional to 209,597.01, 289,235.17 and 114,103.78 is: 157,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597.01 : 289,235.17 = 114,103.78 : x
  2. Step 2: Convert to fraction form
    209,597.01/289,235.17 = 114,103.78/x
  3. Step 3: Cross multiply
    209,597.01x = 289,235.17 × 114,103.78
  4. Step 4: Simplify right side
    209,597.01x = 33,002,826,205.94
  5. Step 5: Solve for x
    x = 33,002,826,205.94/209,597.01
  6. Step 6: Final answer
    x = 157,458.48

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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.