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Finding the Fourth Proportional to 267,509.22, 401,147.17 and 101,180.58

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Solution

The fourth proportional to 267,509.22, 401,147.17 and 101,180.58 is: 151,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,509.22 : 401,147.17 = 101,180.58 : x
  2. Step 2: Convert to fraction form
    267,509.22/401,147.17 = 101,180.58/x
  3. Step 3: Cross multiply
    267,509.22x = 401,147.17 × 101,180.58
  4. Step 4: Simplify right side
    267,509.22x = 40,588,303,325.96
  5. Step 5: Solve for x
    x = 40,588,303,325.96/267,509.22
  6. Step 6: Final answer
    x = 151,726.75

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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.