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Finding the Fourth Proportional to 217,669.24, 300,373.44 and 120,879.24

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Solution

The fourth proportional to 217,669.24, 300,373.44 and 120,879.24 is: 166,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,669.24 : 300,373.44 = 120,879.24 : x
  2. Step 2: Convert to fraction form
    217,669.24/300,373.44 = 120,879.24/x
  3. Step 3: Cross multiply
    217,669.24x = 300,373.44 × 120,879.24
  4. Step 4: Simplify right side
    217,669.24x = 36,308,913,143.39
  5. Step 5: Solve for x
    x = 36,308,913,143.39/217,669.24
  6. Step 6: Final answer
    x = 166,807.74

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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.