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Finding the Fourth Proportional to 209,201.91, 288,699 and 113,708.34

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Solution

The fourth proportional to 209,201.91, 288,699 and 113,708.34 is: 156,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,201.91 : 288,699 = 113,708.34 : x
  2. Step 2: Convert to fraction form
    209,201.91/288,699 = 113,708.34/x
  3. Step 3: Cross multiply
    209,201.91x = 288,699 × 113,708.34
  4. Step 4: Simplify right side
    209,201.91x = 32,827,484,049.66
  5. Step 5: Solve for x
    x = 32,827,484,049.66/209,201.91
  6. Step 6: Final answer
    x = 156,917.71

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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.