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Finding the Fourth Proportional to 206,675.75, 285,210.11 and 116,029.46

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Solution

The fourth proportional to 206,675.75, 285,210.11 and 116,029.46 is: 160,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,675.75 : 285,210.11 = 116,029.46 : x
  2. Step 2: Convert to fraction form
    206,675.75/285,210.11 = 116,029.46/x
  3. Step 3: Cross multiply
    206,675.75x = 285,210.11 × 116,029.46
  4. Step 4: Simplify right side
    206,675.75x = 33,092,776,052.94
  5. Step 5: Solve for x
    x = 33,092,776,052.94/206,675.75
  6. Step 6: Final answer
    x = 160,119.30

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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.