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Finding the Fourth Proportional to 206,578.58, 285,084.10 and 115,940.16

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Solution

The fourth proportional to 206,578.58, 285,084.10 and 115,940.16 is: 160,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.58 : 285,084.10 = 115,940.16 : x
  2. Step 2: Convert to fraction form
    206,578.58/285,084.10 = 115,940.16/x
  3. Step 3: Cross multiply
    206,578.58x = 285,084.10 × 115,940.16
  4. Step 4: Simplify right side
    206,578.58x = 33,052,695,877.61
  5. Step 5: Solve for x
    x = 33,052,695,877.61/206,578.58
  6. Step 6: Final answer
    x = 160,000.59

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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.