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Finding the Fourth Proportional to 206,437.56, 309,641.30 and 92,620.62

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Solution

The fourth proportional to 206,437.56, 309,641.30 and 92,620.62 is: 138,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,437.56 : 309,641.30 = 92,620.62 : x
  2. Step 2: Convert to fraction form
    206,437.56/309,641.30 = 92,620.62/x
  3. Step 3: Cross multiply
    206,437.56x = 309,641.30 × 92,620.62
  4. Step 4: Simplify right side
    206,437.56x = 28,679,167,635.40
  5. Step 5: Solve for x
    x = 28,679,167,635.40/206,437.56
  6. Step 6: Final answer
    x = 138,924.17

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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.