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Finding the Fourth Proportional to 267,509.47, 401,147.55 and 101,180.83

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Solution

The fourth proportional to 267,509.47, 401,147.55 and 101,180.83 is: 151,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,509.47 : 401,147.55 = 101,180.83 : x
  2. Step 2: Convert to fraction form
    267,509.47/401,147.55 = 101,180.83/x
  3. Step 3: Cross multiply
    267,509.47x = 401,147.55 × 101,180.83
  4. Step 4: Simplify right side
    267,509.47x = 40,588,439,549.82
  5. Step 5: Solve for x
    x = 40,588,439,549.82/267,509.47
  6. Step 6: Final answer
    x = 151,727.12

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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.