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Finding the Fourth Proportional to 255,170.56, 382,794.72 and 130,469.44

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Solution

The fourth proportional to 255,170.56, 382,794.72 and 130,469.44 is: 195,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,170.56 : 382,794.72 = 130,469.44 : x
  2. Step 2: Convert to fraction form
    255,170.56/382,794.72 = 130,469.44/x
  3. Step 3: Cross multiply
    255,170.56x = 382,794.72 × 130,469.44
  4. Step 4: Simplify right side
    255,170.56x = 49,943,012,753.36
  5. Step 5: Solve for x
    x = 49,943,012,753.36/255,170.56
  6. Step 6: Final answer
    x = 195,724.04

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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.