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Finding the Fourth Proportional to 197,953.52, 296,930.87 and 48,193.79

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Solution

The fourth proportional to 197,953.52, 296,930.87 and 48,193.79 is: 72,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,953.52 : 296,930.87 = 48,193.79 : x
  2. Step 2: Convert to fraction form
    197,953.52/296,930.87 = 48,193.79/x
  3. Step 3: Cross multiply
    197,953.52x = 296,930.87 × 48,193.79
  4. Step 4: Simplify right side
    197,953.52x = 14,310,223,752.33
  5. Step 5: Solve for x
    x = 14,310,223,752.33/197,953.52
  6. Step 6: Final answer
    x = 72,290.83

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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.