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Finding the Fourth Proportional to 206,900.52, 285,522.96 and 117,476.52

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Solution

The fourth proportional to 206,900.52, 285,522.96 and 117,476.52 is: 162,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,900.52 : 285,522.96 = 117,476.52 : x
  2. Step 2: Convert to fraction form
    206,900.52/285,522.96 = 117,476.52/x
  3. Step 3: Cross multiply
    206,900.52x = 285,522.96 × 117,476.52
  4. Step 4: Simplify right side
    206,900.52x = 33,542,243,720.90
  5. Step 5: Solve for x
    x = 33,542,243,720.90/206,900.52
  6. Step 6: Final answer
    x = 162,117.74

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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.