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Finding the Fourth Proportional to 204,859.72, 307,329.90 and 86,530.60

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Solution

The fourth proportional to 204,859.72, 307,329.90 and 86,530.60 is: 129,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,859.72 : 307,329.90 = 86,530.60 : x
  2. Step 2: Convert to fraction form
    204,859.72/307,329.90 = 86,530.60/x
  3. Step 3: Cross multiply
    204,859.72x = 307,329.90 × 86,530.60
  4. Step 4: Simplify right side
    204,859.72x = 26,593,440,644.94
  5. Step 5: Solve for x
    x = 26,593,440,644.94/204,859.72
  6. Step 6: Final answer
    x = 129,812.93

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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.