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Finding the Fourth Proportional to 227,082.56, 340,412.04 and 77,220.44

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Solution

The fourth proportional to 227,082.56, 340,412.04 and 77,220.44 is: 115,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,082.56 : 340,412.04 = 77,220.44 : x
  2. Step 2: Convert to fraction form
    227,082.56/340,412.04 = 77,220.44/x
  3. Step 3: Cross multiply
    227,082.56x = 340,412.04 × 77,220.44
  4. Step 4: Simplify right side
    227,082.56x = 26,286,767,510.10
  5. Step 5: Solve for x
    x = 26,286,767,510.10/227,082.56
  6. Step 6: Final answer
    x = 115,758.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.