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Finding the Fourth Proportional to 267,872.31, 369,662.67 and 147,015.57

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Solution

The fourth proportional to 267,872.31, 369,662.67 and 147,015.57 is: 202,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,872.31 : 369,662.67 = 147,015.57 : x
  2. Step 2: Convert to fraction form
    267,872.31/369,662.67 = 147,015.57/x
  3. Step 3: Cross multiply
    267,872.31x = 369,662.67 × 147,015.57
  4. Step 4: Simplify right side
    267,872.31x = 54,346,168,137.77
  5. Step 5: Solve for x
    x = 54,346,168,137.77/267,872.31
  6. Step 6: Final answer
    x = 202,880.87

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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.