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Finding the Fourth Proportional to 217,751.74, 300,512.22 and 120,966.64

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Solution

The fourth proportional to 217,751.74, 300,512.22 and 120,966.64 is: 166,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,751.74 : 300,512.22 = 120,966.64 : x
  2. Step 2: Convert to fraction form
    217,751.74/300,512.22 = 120,966.64/x
  3. Step 3: Cross multiply
    217,751.74x = 300,512.22 × 120,966.64
  4. Step 4: Simplify right side
    217,751.74x = 36,351,953,532.34
  5. Step 5: Solve for x
    x = 36,351,953,532.34/217,751.74
  6. Step 6: Final answer
    x = 166,942.20

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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.