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Finding the Fourth Proportional to 267,516.50, 401,158.04 and 101,187.86

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Solution

The fourth proportional to 267,516.50, 401,158.04 and 101,187.86 is: 151,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,516.50 : 401,158.04 = 101,187.86 : x
  2. Step 2: Convert to fraction form
    267,516.50/401,158.04 = 101,187.86/x
  3. Step 3: Cross multiply
    267,516.50x = 401,158.04 × 101,187.86
  4. Step 4: Simplify right side
    267,516.50x = 40,592,321,077.66
  5. Step 5: Solve for x
    x = 40,592,321,077.66/267,516.50
  6. Step 6: Final answer
    x = 151,737.64

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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.