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Finding the Fourth Proportional to 275,114.60, 412,431.90 and 106,749.80

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Solution

The fourth proportional to 275,114.60, 412,431.90 and 106,749.80 is: 160,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,114.60 : 412,431.90 = 106,749.80 : x
  2. Step 2: Convert to fraction form
    275,114.60/412,431.90 = 106,749.80/x
  3. Step 3: Cross multiply
    275,114.60x = 412,431.90 × 106,749.80
  4. Step 4: Simplify right side
    275,114.60x = 44,027,022,838.62
  5. Step 5: Solve for x
    x = 44,027,022,838.62/275,114.60
  6. Step 6: Final answer
    x = 160,031.58

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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.