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Finding the Fourth Proportional to 101,072.82, 151,412.22 and 61,531.86

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Solution

The fourth proportional to 101,072.82, 151,412.22 and 61,531.86 is: 92,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,072.82 : 151,412.22 = 61,531.86 : x
  2. Step 2: Convert to fraction form
    101,072.82/151,412.22 = 61,531.86/x
  3. Step 3: Cross multiply
    101,072.82x = 151,412.22 × 61,531.86
  4. Step 4: Simplify right side
    101,072.82x = 9,316,675,523.33
  5. Step 5: Solve for x
    x = 9,316,675,523.33/101,072.82
  6. Step 6: Final answer
    x = 92,177.85

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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.