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Finding the Fourth Proportional to 204,085.60, 305,523.60 and 151,727.20

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Solution

The fourth proportional to 204,085.60, 305,523.60 and 151,727.20 is: 227,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,085.60 : 305,523.60 = 151,727.20 : x
  2. Step 2: Convert to fraction form
    204,085.60/305,523.60 = 151,727.20/x
  3. Step 3: Cross multiply
    204,085.60x = 305,523.60 × 151,727.20
  4. Step 4: Simplify right side
    204,085.60x = 46,356,240,361.92
  5. Step 5: Solve for x
    x = 46,356,240,361.92/204,085.60
  6. Step 6: Final answer
    x = 227,141.16

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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.