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Finding the Fourth Proportional to 204,777.30, 307,056.60 and 86,314.80

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Solution

The fourth proportional to 204,777.30, 307,056.60 and 86,314.80 is: 129,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,777.30 : 307,056.60 = 86,314.80 : x
  2. Step 2: Convert to fraction form
    204,777.30/307,056.60 = 86,314.80/x
  3. Step 3: Cross multiply
    204,777.30x = 307,056.60 × 86,314.80
  4. Step 4: Simplify right side
    204,777.30x = 26,503,529,017.68
  5. Step 5: Solve for x
    x = 26,503,529,017.68/204,777.30
  6. Step 6: Final answer
    x = 129,426.11

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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.