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Finding the Fourth Proportional to 110,671.70, 165,748.35 and 84,233.30

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Solution

The fourth proportional to 110,671.70, 165,748.35 and 84,233.30 is: 126,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,671.70 : 165,748.35 = 84,233.30 : x
  2. Step 2: Convert to fraction form
    110,671.70/165,748.35 = 84,233.30/x
  3. Step 3: Cross multiply
    110,671.70x = 165,748.35 × 84,233.30
  4. Step 4: Simplify right side
    110,671.70x = 13,961,530,490.06
  5. Step 5: Solve for x
    x = 13,961,530,490.06/110,671.70
  6. Step 6: Final answer
    x = 126,152.67

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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.