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Finding the Fourth Proportional to 267,509.53, 401,147.64 and 101,180.89

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Solution

The fourth proportional to 267,509.53, 401,147.64 and 101,180.89 is: 151,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,509.53 : 401,147.64 = 101,180.89 : x
  2. Step 2: Convert to fraction form
    267,509.53/401,147.64 = 101,180.89/x
  3. Step 3: Cross multiply
    267,509.53x = 401,147.64 × 101,180.89
  4. Step 4: Simplify right side
    267,509.53x = 40,588,474,233.73
  5. Step 5: Solve for x
    x = 40,588,474,233.73/267,509.53
  6. Step 6: Final answer
    x = 151,727.21

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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.