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Finding the Fourth Proportional to 206,130.89, 309,188.24 and 86,156.85

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Solution

The fourth proportional to 206,130.89, 309,188.24 and 86,156.85 is: 129,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,130.89 : 309,188.24 = 86,156.85 : x
  2. Step 2: Convert to fraction form
    206,130.89/309,188.24 = 86,156.85/x
  3. Step 3: Cross multiply
    206,130.89x = 309,188.24 × 86,156.85
  4. Step 4: Simplify right side
    206,130.89x = 26,638,684,815.44
  5. Step 5: Solve for x
    x = 26,638,684,815.44/206,130.89
  6. Step 6: Final answer
    x = 129,231.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.