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Finding the Fourth Proportional to 151,415.76, 227,174.22 and 67,164.32

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Solution

The fourth proportional to 151,415.76, 227,174.22 and 67,164.32 is: 100,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,415.76 : 227,174.22 = 67,164.32 : x
  2. Step 2: Convert to fraction form
    151,415.76/227,174.22 = 67,164.32/x
  3. Step 3: Cross multiply
    151,415.76x = 227,174.22 × 67,164.32
  4. Step 4: Simplify right side
    151,415.76x = 15,258,002,575.77
  5. Step 5: Solve for x
    x = 15,258,002,575.77/151,415.76
  6. Step 6: Final answer
    x = 100,768.92

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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.