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Finding the Fourth Proportional to 199,102.64, 298,645.26 and 64,163.71

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Solution

The fourth proportional to 199,102.64, 298,645.26 and 64,163.71 is: 96,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,102.64 : 298,645.26 = 64,163.71 : x
  2. Step 2: Convert to fraction form
    199,102.64/298,645.26 = 64,163.71/x
  3. Step 3: Cross multiply
    199,102.64x = 298,645.26 × 64,163.71
  4. Step 4: Simplify right side
    199,102.64x = 19,162,186,669.25
  5. Step 5: Solve for x
    x = 19,162,186,669.25/199,102.64
  6. Step 6: Final answer
    x = 96,242.76

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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.