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Finding the Fourth Proportional to 206,165.87, 284,508.77 and 115,522.58

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Solution

The fourth proportional to 206,165.87, 284,508.77 and 115,522.58 is: 159,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,165.87 : 284,508.77 = 115,522.58 : x
  2. Step 2: Convert to fraction form
    206,165.87/284,508.77 = 115,522.58/x
  3. Step 3: Cross multiply
    206,165.87x = 284,508.77 × 115,522.58
  4. Step 4: Simplify right side
    206,165.87x = 32,867,186,638.96
  5. Step 5: Solve for x
    x = 32,867,186,638.96/206,165.87
  6. Step 6: Final answer
    x = 159,421.08

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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.