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Finding the Fourth Proportional to 206,578.58, 285,083.52 and 115,941.45

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Solution

The fourth proportional to 206,578.58, 285,083.52 and 115,941.45 is: 160,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.58 : 285,083.52 = 115,941.45 : x
  2. Step 2: Convert to fraction form
    206,578.58/285,083.52 = 115,941.45/x
  3. Step 3: Cross multiply
    206,578.58x = 285,083.52 × 115,941.45
  4. Step 4: Simplify right side
    206,578.58x = 33,052,996,679.90
  5. Step 5: Solve for x
    x = 33,052,996,679.90/206,578.58
  6. Step 6: Final answer
    x = 160,002.06

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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.