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Finding the Fourth Proportional to 214,099.20, 295,552.80 and 153,964.80

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Solution

The fourth proportional to 214,099.20, 295,552.80 and 153,964.80 is: 212,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,099.20 : 295,552.80 = 153,964.80 : x
  2. Step 2: Convert to fraction form
    214,099.20/295,552.80 = 153,964.80/x
  3. Step 3: Cross multiply
    214,099.20x = 295,552.80 × 153,964.80
  4. Step 4: Simplify right side
    214,099.20x = 45,504,727,741.44
  5. Step 5: Solve for x
    x = 45,504,727,741.44/214,099.20
  6. Step 6: Final answer
    x = 212,540.39

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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.