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Finding the Fourth Proportional to 206,114.52, 284,438.04 and 116,690.52

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Solution

The fourth proportional to 206,114.52, 284,438.04 and 116,690.52 is: 161,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,114.52 : 284,438.04 = 116,690.52 : x
  2. Step 2: Convert to fraction form
    206,114.52/284,438.04 = 116,690.52/x
  3. Step 3: Cross multiply
    206,114.52x = 284,438.04 × 116,690.52
  4. Step 4: Simplify right side
    206,114.52x = 33,191,222,795.38
  5. Step 5: Solve for x
    x = 33,191,222,795.38/206,114.52
  6. Step 6: Final answer
    x = 161,032.92

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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.