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Finding the Fourth Proportional to 197,364.70, 296,049.84 and 64,245.66

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Solution

The fourth proportional to 197,364.70, 296,049.84 and 64,245.66 is: 96,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,364.70 : 296,049.84 = 64,245.66 : x
  2. Step 2: Convert to fraction form
    197,364.70/296,049.84 = 64,245.66/x
  3. Step 3: Cross multiply
    197,364.70x = 296,049.84 × 64,245.66
  4. Step 4: Simplify right side
    197,364.70x = 19,019,917,363.69
  5. Step 5: Solve for x
    x = 19,019,917,363.69/197,364.70
  6. Step 6: Final answer
    x = 96,369.40

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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.