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Finding the Fourth Proportional to 199,199.62, 298,857.82 and 64,260.98

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Solution

The fourth proportional to 199,199.62, 298,857.82 and 64,260.98 is: 96,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,199.62 : 298,857.82 = 64,260.98 : x
  2. Step 2: Convert to fraction form
    199,199.62/298,857.82 = 64,260.98/x
  3. Step 3: Cross multiply
    199,199.62x = 298,857.82 × 64,260.98
  4. Step 4: Simplify right side
    199,199.62x = 19,204,896,393.86
  5. Step 5: Solve for x
    x = 19,204,896,393.86/199,199.62
  6. Step 6: Final answer
    x = 96,410.31

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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.