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Finding the Fourth Proportional to 204,047.40, 305,811.24 and 115,350.24

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Solution

The fourth proportional to 204,047.40, 305,811.24 and 115,350.24 is: 172,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,047.40 : 305,811.24 = 115,350.24 : x
  2. Step 2: Convert to fraction form
    204,047.40/305,811.24 = 115,350.24/x
  3. Step 3: Cross multiply
    204,047.40x = 305,811.24 × 115,350.24
  4. Step 4: Simplify right side
    204,047.40x = 35,275,399,928.70
  5. Step 5: Solve for x
    x = 35,275,399,928.70/204,047.40
  6. Step 6: Final answer
    x = 172,878.46

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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.