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Finding the Fourth Proportional to 204,914.84, 307,298.41 and 86,595.39

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Solution

The fourth proportional to 204,914.84, 307,298.41 and 86,595.39 is: 129,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,914.84 : 307,298.41 = 86,595.39 : x
  2. Step 2: Convert to fraction form
    204,914.84/307,298.41 = 86,595.39/x
  3. Step 3: Cross multiply
    204,914.84x = 307,298.41 × 86,595.39
  4. Step 4: Simplify right side
    204,914.84x = 26,610,625,443.84
  5. Step 5: Solve for x
    x = 26,610,625,443.84/204,914.84
  6. Step 6: Final answer
    x = 129,861.88

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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.