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Finding the Fourth Proportional to 206,697.16, 285,245.58 and 114,814

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Solution

The fourth proportional to 206,697.16, 285,245.58 and 114,814 is: 158,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,697.16 : 285,245.58 = 114,814 : x
  2. Step 2: Convert to fraction form
    206,697.16/285,245.58 = 114,814/x
  3. Step 3: Cross multiply
    206,697.16x = 285,245.58 × 114,814
  4. Step 4: Simplify right side
    206,697.16x = 32,750,186,022.12
  5. Step 5: Solve for x
    x = 32,750,186,022.12/206,697.16
  6. Step 6: Final answer
    x = 158,445.26

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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.