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Finding the Fourth Proportional to 206,447.76, 309,723.67 and 58,703.76

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Solution

The fourth proportional to 206,447.76, 309,723.67 and 58,703.76 is: 88,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,447.76 : 309,723.67 = 58,703.76 : x
  2. Step 2: Convert to fraction form
    206,447.76/309,723.67 = 58,703.76/x
  3. Step 3: Cross multiply
    206,447.76x = 309,723.67 × 58,703.76
  4. Step 4: Simplify right side
    206,447.76x = 18,181,943,990.00
  5. Step 5: Solve for x
    x = 18,181,943,990.00/206,447.76
  6. Step 6: Final answer
    x = 88,070.43

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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.