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Finding the Fourth Proportional to 267,509.34, 401,147.36 and 101,180.70

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Solution

The fourth proportional to 267,509.34, 401,147.36 and 101,180.70 is: 151,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,509.34 : 401,147.36 = 101,180.70 : x
  2. Step 2: Convert to fraction form
    267,509.34/401,147.36 = 101,180.70/x
  3. Step 3: Cross multiply
    267,509.34x = 401,147.36 × 101,180.70
  4. Step 4: Simplify right side
    267,509.34x = 40,588,370,687.95
  5. Step 5: Solve for x
    x = 40,588,370,687.95/267,509.34
  6. Step 6: Final answer
    x = 151,726.93

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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.