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Finding the Fourth Proportional to 217,785.20, 300,522.66 and 122,270

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Solution

The fourth proportional to 217,785.20, 300,522.66 and 122,270 is: 168,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,785.20 : 300,522.66 = 122,270 : x
  2. Step 2: Convert to fraction form
    217,785.20/300,522.66 = 122,270/x
  3. Step 3: Cross multiply
    217,785.20x = 300,522.66 × 122,270
  4. Step 4: Simplify right side
    217,785.20x = 36,744,905,638.20
  5. Step 5: Solve for x
    x = 36,744,905,638.20/217,785.20
  6. Step 6: Final answer
    x = 168,720.86

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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.