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Finding the Fourth Proportional to 229,224.01, 343,887.04 and 75,356.96

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Solution

The fourth proportional to 229,224.01, 343,887.04 and 75,356.96 is: 113,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,224.01 : 343,887.04 = 75,356.96 : x
  2. Step 2: Convert to fraction form
    229,224.01/343,887.04 = 75,356.96/x
  3. Step 3: Cross multiply
    229,224.01x = 343,887.04 × 75,356.96
  4. Step 4: Simplify right side
    229,224.01x = 25,914,280,198.36
  5. Step 5: Solve for x
    x = 25,914,280,198.36/229,224.01
  6. Step 6: Final answer
    x = 113,052.21

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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.