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Finding the Fourth Proportional to 199,019.53, 298,473.87 and 65,910.16

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Solution

The fourth proportional to 199,019.53, 298,473.87 and 65,910.16 is: 98,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,019.53 : 298,473.87 = 65,910.16 : x
  2. Step 2: Convert to fraction form
    199,019.53/298,473.87 = 65,910.16/x
  3. Step 3: Cross multiply
    199,019.53x = 298,473.87 × 65,910.16
  4. Step 4: Simplify right side
    199,019.53x = 19,672,460,527.52
  5. Step 5: Solve for x
    x = 19,672,460,527.52/199,019.53
  6. Step 6: Final answer
    x = 98,846.88

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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.