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Finding the Fourth Proportional to 199,822.33, 299,846.85 and 73,446.13

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Solution

The fourth proportional to 199,822.33, 299,846.85 and 73,446.13 is: 110,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,822.33 : 299,846.85 = 73,446.13 : x
  2. Step 2: Convert to fraction form
    199,822.33/299,846.85 = 73,446.13/x
  3. Step 3: Cross multiply
    199,822.33x = 299,846.85 × 73,446.13
  4. Step 4: Simplify right side
    199,822.33x = 22,022,590,725.19
  5. Step 5: Solve for x
    x = 22,022,590,725.19/199,822.33
  6. Step 6: Final answer
    x = 110,210.86

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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.