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Finding the Fourth Proportional to 206,544.97, 285,031.28 and 115,900.73

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Solution

The fourth proportional to 206,544.97, 285,031.28 and 115,900.73 is: 159,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,544.97 : 285,031.28 = 115,900.73 : x
  2. Step 2: Convert to fraction form
    206,544.97/285,031.28 = 115,900.73/x
  3. Step 3: Cross multiply
    206,544.97x = 285,031.28 × 115,900.73
  4. Step 4: Simplify right side
    206,544.97x = 33,035,333,424.83
  5. Step 5: Solve for x
    x = 33,035,333,424.83/206,544.97
  6. Step 6: Final answer
    x = 159,942.57

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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.