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Finding the Fourth Proportional to 204,956.74, 307,494.65 and 84,991.69

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Solution

The fourth proportional to 204,956.74, 307,494.65 and 84,991.69 is: 127,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,956.74 : 307,494.65 = 84,991.69 : x
  2. Step 2: Convert to fraction form
    204,956.74/307,494.65 = 84,991.69/x
  3. Step 3: Cross multiply
    204,956.74x = 307,494.65 × 84,991.69
  4. Step 4: Simplify right side
    204,956.74x = 26,134,489,969.46
  5. Step 5: Solve for x
    x = 26,134,489,969.46/204,956.74
  6. Step 6: Final answer
    x = 127,512.23

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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.