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Finding the Fourth Proportional to 267,235.04, 400,956.24 and 101,036

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Solution

The fourth proportional to 267,235.04, 400,956.24 and 101,036 is: 151,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,235.04 : 400,956.24 = 101,036 : x
  2. Step 2: Convert to fraction form
    267,235.04/400,956.24 = 101,036/x
  3. Step 3: Cross multiply
    267,235.04x = 400,956.24 × 101,036
  4. Step 4: Simplify right side
    267,235.04x = 40,511,014,664.64
  5. Step 5: Solve for x
    x = 40,511,014,664.64/267,235.04
  6. Step 6: Final answer
    x = 151,593.20

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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.