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Finding the Fourth Proportional to 267,596.60, 401,433.78 and 142,869.56

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Solution

The fourth proportional to 267,596.60, 401,433.78 and 142,869.56 is: 214,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,596.60 : 401,433.78 = 142,869.56 : x
  2. Step 2: Convert to fraction form
    267,596.60/401,433.78 = 142,869.56/x
  3. Step 3: Cross multiply
    267,596.60x = 401,433.78 × 142,869.56
  4. Step 4: Simplify right side
    267,596.60x = 57,352,667,517.74
  5. Step 5: Solve for x
    x = 57,352,667,517.74/267,596.60
  6. Step 6: Final answer
    x = 214,325.10

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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.