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Finding the Fourth Proportional to 204,158.40, 305,800.20 and 164,792.40

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Solution

The fourth proportional to 204,158.40, 305,800.20 and 164,792.40 is: 246,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,158.40 : 305,800.20 = 164,792.40 : x
  2. Step 2: Convert to fraction form
    204,158.40/305,800.20 = 164,792.40/x
  3. Step 3: Cross multiply
    204,158.40x = 305,800.20 × 164,792.40
  4. Step 4: Simplify right side
    204,158.40x = 50,393,548,878.48
  5. Step 5: Solve for x
    x = 50,393,548,878.48/204,158.40
  6. Step 6: Final answer
    x = 246,835.54

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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.