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Finding the Fourth Proportional to 206,708.95, 285,240.85 and 116,057.80

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Solution

The fourth proportional to 206,708.95, 285,240.85 and 116,057.80 is: 160,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,708.95 : 285,240.85 = 116,057.80 : x
  2. Step 2: Convert to fraction form
    206,708.95/285,240.85 = 116,057.80/x
  3. Step 3: Cross multiply
    206,708.95x = 285,240.85 × 116,057.80
  4. Step 4: Simplify right side
    206,708.95x = 33,104,425,521.13
  5. Step 5: Solve for x
    x = 33,104,425,521.13/206,708.95
  6. Step 6: Final answer
    x = 160,149.94

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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.