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Finding the Fourth Proportional to 267,507.96, 401,145.30 and 101,179.32

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Solution

The fourth proportional to 267,507.96, 401,145.30 and 101,179.32 is: 151,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,507.96 : 401,145.30 = 101,179.32 : x
  2. Step 2: Convert to fraction form
    267,507.96/401,145.30 = 101,179.32/x
  3. Step 3: Cross multiply
    267,507.96x = 401,145.30 × 101,179.32
  4. Step 4: Simplify right side
    267,507.96x = 40,587,609,800.07
  5. Step 5: Solve for x
    x = 40,587,609,800.07/267,507.96
  6. Step 6: Final answer
    x = 151,724.87

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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.