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Finding the Fourth Proportional to 199,568.98, 299,194.50 and 115,233.40

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Solution

The fourth proportional to 199,568.98, 299,194.50 and 115,233.40 is: 172,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,568.98 : 299,194.50 = 115,233.40 : x
  2. Step 2: Convert to fraction form
    199,568.98/299,194.50 = 115,233.40/x
  3. Step 3: Cross multiply
    199,568.98x = 299,194.50 × 115,233.40
  4. Step 4: Simplify right side
    199,568.98x = 34,477,198,000.33
  5. Step 5: Solve for x
    x = 34,477,198,000.33/199,568.98
  6. Step 6: Final answer
    x = 172,758.31

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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.