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Finding the Fourth Proportional to 206,261.34, 284,652.30 and 115,646.64

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Solution

The fourth proportional to 206,261.34, 284,652.30 and 115,646.64 is: 159,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,261.34 : 284,652.30 = 115,646.64 : x
  2. Step 2: Convert to fraction form
    206,261.34/284,652.30 = 115,646.64/x
  3. Step 3: Cross multiply
    206,261.34x = 284,652.30 × 115,646.64
  4. Step 4: Simplify right side
    206,261.34x = 32,919,082,063.27
  5. Step 5: Solve for x
    x = 32,919,082,063.27/206,261.34
  6. Step 6: Final answer
    x = 159,598.90

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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.