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Finding the Fourth Proportional to 209,048.46, 288,489.36 and 113,556.66

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Solution

The fourth proportional to 209,048.46, 288,489.36 and 113,556.66 is: 156,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048.46 : 288,489.36 = 113,556.66 : x
  2. Step 2: Convert to fraction form
    209,048.46/288,489.36 = 113,556.66/x
  3. Step 3: Cross multiply
    209,048.46x = 288,489.36 × 113,556.66
  4. Step 4: Simplify right side
    209,048.46x = 32,759,888,167.14
  5. Step 5: Solve for x
    x = 32,759,888,167.14/209,048.46
  6. Step 6: Final answer
    x = 156,709.54

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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.