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Finding the Fourth Proportional to 204,960.80, 307,484.40 and 86,571.20

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Solution

The fourth proportional to 204,960.80, 307,484.40 and 86,571.20 is: 129,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,960.80 : 307,484.40 = 86,571.20 : x
  2. Step 2: Convert to fraction form
    204,960.80/307,484.40 = 86,571.20/x
  3. Step 3: Cross multiply
    204,960.80x = 307,484.40 × 86,571.20
  4. Step 4: Simplify right side
    204,960.80x = 26,619,293,489.28
  5. Step 5: Solve for x
    x = 26,619,293,489.28/204,960.80
  6. Step 6: Final answer
    x = 129,875.05

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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.