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Finding the Fourth Proportional to 267,383.28, 368,972.90 and 146,500.50

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Solution

The fourth proportional to 267,383.28, 368,972.90 and 146,500.50 is: 202,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,383.28 : 368,972.90 = 146,500.50 : x
  2. Step 2: Convert to fraction form
    267,383.28/368,972.90 = 146,500.50/x
  3. Step 3: Cross multiply
    267,383.28x = 368,972.90 × 146,500.50
  4. Step 4: Simplify right side
    267,383.28x = 54,054,714,336.45
  5. Step 5: Solve for x
    x = 54,054,714,336.45/267,383.28
  6. Step 6: Final answer
    x = 202,161.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.