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Finding the Fourth Proportional to 206,807.76, 310,212.96 and 113,262.48

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Solution

The fourth proportional to 206,807.76, 310,212.96 and 113,262.48 is: 169,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,807.76 : 310,212.96 = 113,262.48 : x
  2. Step 2: Convert to fraction form
    206,807.76/310,212.96 = 113,262.48/x
  3. Step 3: Cross multiply
    206,807.76x = 310,212.96 × 113,262.48
  4. Step 4: Simplify right side
    206,807.76x = 35,135,489,177.74
  5. Step 5: Solve for x
    x = 35,135,489,177.74/206,807.76
  6. Step 6: Final answer
    x = 169,894.44

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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.