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Finding the Fourth Proportional to 110,213.34, 165,295.71 and 53,997.72

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Solution

The fourth proportional to 110,213.34, 165,295.71 and 53,997.72 is: 80,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,213.34 : 165,295.71 = 53,997.72 : x
  2. Step 2: Convert to fraction form
    110,213.34/165,295.71 = 53,997.72/x
  3. Step 3: Cross multiply
    110,213.34x = 165,295.71 × 53,997.72
  4. Step 4: Simplify right side
    110,213.34x = 8,925,591,465.78
  5. Step 5: Solve for x
    x = 8,925,591,465.78/110,213.34
  6. Step 6: Final answer
    x = 80,984.67

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1.5x scale

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.