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Finding the Fourth Proportional to 197,894.98, 296,839.97 and 48,135.36

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Solution

The fourth proportional to 197,894.98, 296,839.97 and 48,135.36 is: 72,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894.98 : 296,839.97 = 48,135.36 : x
  2. Step 2: Convert to fraction form
    197,894.98/296,839.97 = 48,135.36/x
  3. Step 3: Cross multiply
    197,894.98x = 296,839.97 × 48,135.36
  4. Step 4: Simplify right side
    197,894.98x = 14,288,498,818.34
  5. Step 5: Solve for x
    x = 14,288,498,818.34/197,894.98
  6. Step 6: Final answer
    x = 72,202.43

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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.