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Finding the Fourth Proportional to 113,982.70, 171,023.26 and 61,381.70

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Solution

The fourth proportional to 113,982.70, 171,023.26 and 61,381.70 is: 92,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,982.70 : 171,023.26 = 61,381.70 : x
  2. Step 2: Convert to fraction form
    113,982.70/171,023.26 = 61,381.70/x
  3. Step 3: Cross multiply
    113,982.70x = 171,023.26 × 61,381.70
  4. Step 4: Simplify right side
    113,982.70x = 10,497,698,438.34
  5. Step 5: Solve for x
    x = 10,497,698,438.34/113,982.70
  6. Step 6: Final answer
    x = 92,099.05

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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.