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Finding the Fourth Proportional to 267,511.14, 401,150.07 and 101,182.50

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Solution

The fourth proportional to 267,511.14, 401,150.07 and 101,182.50 is: 151,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,511.14 : 401,150.07 = 101,182.50 : x
  2. Step 2: Convert to fraction form
    267,511.14/401,150.07 = 101,182.50/x
  3. Step 3: Cross multiply
    267,511.14x = 401,150.07 × 101,182.50
  4. Step 4: Simplify right side
    267,511.14x = 40,589,366,957.78
  5. Step 5: Solve for x
    x = 40,589,366,957.78/267,511.14
  6. Step 6: Final answer
    x = 151,729.63

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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.