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Finding the Fourth Proportional to 206,447.77, 309,597.36 and 71,475.18

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Solution

The fourth proportional to 206,447.77, 309,597.36 and 71,475.18 is: 107,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,447.77 : 309,597.36 = 71,475.18 : x
  2. Step 2: Convert to fraction form
    206,447.77/309,597.36 = 71,475.18/x
  3. Step 3: Cross multiply
    206,447.77x = 309,597.36 × 71,475.18
  4. Step 4: Simplify right side
    206,447.77x = 22,128,527,033.52
  5. Step 5: Solve for x
    x = 22,128,527,033.52/206,447.77
  6. Step 6: Final answer
    x = 107,187.05

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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.