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Finding the Fourth Proportional to 267,144.50, 368,659.41 and 153,974.54

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Solution

The fourth proportional to 267,144.50, 368,659.41 and 153,974.54 is: 212,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,144.50 : 368,659.41 = 153,974.54 : x
  2. Step 2: Convert to fraction form
    267,144.50/368,659.41 = 153,974.54/x
  3. Step 3: Cross multiply
    267,144.50x = 368,659.41 × 153,974.54
  4. Step 4: Simplify right side
    267,144.50x = 56,764,163,071.42
  5. Step 5: Solve for x
    x = 56,764,163,071.42/267,144.50
  6. Step 6: Final answer
    x = 212,484.87

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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.