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Finding the Fourth Proportional to 206,600.36, 310,066.62 and 106,789.82

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Solution

The fourth proportional to 206,600.36, 310,066.62 and 106,789.82 is: 160,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600.36 : 310,066.62 = 106,789.82 : x
  2. Step 2: Convert to fraction form
    206,600.36/310,066.62 = 106,789.82/x
  3. Step 3: Cross multiply
    206,600.36x = 310,066.62 × 106,789.82
  4. Step 4: Simplify right side
    206,600.36x = 33,111,958,537.81
  5. Step 5: Solve for x
    x = 33,111,958,537.81/206,600.36
  6. Step 6: Final answer
    x = 160,270.58

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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.