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Finding the Fourth Proportional to 207,198.72, 285,937.56 and 116,573.76

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Solution

The fourth proportional to 207,198.72, 285,937.56 and 116,573.76 is: 160,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198.72 : 285,937.56 = 116,573.76 : x
  2. Step 2: Convert to fraction form
    207,198.72/285,937.56 = 116,573.76/x
  3. Step 3: Cross multiply
    207,198.72x = 285,937.56 × 116,573.76
  4. Step 4: Simplify right side
    207,198.72x = 33,332,816,494.43
  5. Step 5: Solve for x
    x = 33,332,816,494.43/207,198.72
  6. Step 6: Final answer
    x = 160,873.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.