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Finding the Fourth Proportional to 197,709.44, 296,611.10 and 64,589.49

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Solution

The fourth proportional to 197,709.44, 296,611.10 and 64,589.49 is: 96,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,709.44 : 296,611.10 = 64,589.49 : x
  2. Step 2: Convert to fraction form
    197,709.44/296,611.10 = 64,589.49/x
  3. Step 3: Cross multiply
    197,709.44x = 296,611.10 × 64,589.49
  4. Step 4: Simplify right side
    197,709.44x = 19,157,959,354.39
  5. Step 5: Solve for x
    x = 19,157,959,354.39/197,709.44
  6. Step 6: Final answer
    x = 96,899.57

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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.