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Finding the Fourth Proportional to 231,054.64, 345,793.36 and 193,656.96

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Solution

The fourth proportional to 231,054.64, 345,793.36 and 193,656.96 is: 289,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,054.64 : 345,793.36 = 193,656.96 : x
  2. Step 2: Convert to fraction form
    231,054.64/345,793.36 = 193,656.96/x
  3. Step 3: Cross multiply
    231,054.64x = 345,793.36 × 193,656.96
  4. Step 4: Simplify right side
    231,054.64x = 66,965,290,885.79
  5. Step 5: Solve for x
    x = 66,965,290,885.79/231,054.64
  6. Step 6: Final answer
    x = 289,824.48

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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.