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Finding the Fourth Proportional to 197,475.60, 296,249.04 and 64,344

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Solution

The fourth proportional to 197,475.60, 296,249.04 and 64,344 is: 96,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,475.60 : 296,249.04 = 64,344 : x
  2. Step 2: Convert to fraction form
    197,475.60/296,249.04 = 64,344/x
  3. Step 3: Cross multiply
    197,475.60x = 296,249.04 × 64,344
  4. Step 4: Simplify right side
    197,475.60x = 19,061,848,229.76
  5. Step 5: Solve for x
    x = 19,061,848,229.76/197,475.60
  6. Step 6: Final answer
    x = 96,527.61

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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.