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Finding the Fourth Proportional to 209,446.54, 289,027.65 and 113,953.33

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Solution

The fourth proportional to 209,446.54, 289,027.65 and 113,953.33 is: 157,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,446.54 : 289,027.65 = 113,953.33 : x
  2. Step 2: Convert to fraction form
    209,446.54/289,027.65 = 113,953.33/x
  3. Step 3: Cross multiply
    209,446.54x = 289,027.65 × 113,953.33
  4. Step 4: Simplify right side
    209,446.54x = 32,935,663,179.57
  5. Step 5: Solve for x
    x = 32,935,663,179.57/209,446.54
  6. Step 6: Final answer
    x = 157,250.93

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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.