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Finding the Fourth Proportional to 113,961.88, 171,016.14 and 61,407.88

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Solution

The fourth proportional to 113,961.88, 171,016.14 and 61,407.88 is: 92,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,961.88 : 171,016.14 = 61,407.88 : x
  2. Step 2: Convert to fraction form
    113,961.88/171,016.14 = 61,407.88/x
  3. Step 3: Cross multiply
    113,961.88x = 171,016.14 × 61,407.88
  4. Step 4: Simplify right side
    113,961.88x = 10,501,738,603.18
  5. Step 5: Solve for x
    x = 10,501,738,603.18/113,961.88
  6. Step 6: Final answer
    x = 92,151.33

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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.