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Finding the Fourth Proportional to 100,166.89, 138,230.34 and 54,847.74

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Solution

The fourth proportional to 100,166.89, 138,230.34 and 54,847.74 is: 75,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166.89 : 138,230.34 = 54,847.74 : x
  2. Step 2: Convert to fraction form
    100,166.89/138,230.34 = 54,847.74/x
  3. Step 3: Cross multiply
    100,166.89x = 138,230.34 × 54,847.74
  4. Step 4: Simplify right side
    100,166.89x = 7,581,621,748.43
  5. Step 5: Solve for x
    x = 7,581,621,748.43/100,166.89
  6. Step 6: Final answer
    x = 75,689.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.