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Finding the Fourth Proportional to 199,292.98, 298,733.48 and 92,589.88

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Solution

The fourth proportional to 199,292.98, 298,733.48 and 92,589.88 is: 138,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,292.98 : 298,733.48 = 92,589.88 : x
  2. Step 2: Convert to fraction form
    199,292.98/298,733.48 = 92,589.88/x
  3. Step 3: Cross multiply
    199,292.98x = 298,733.48 × 92,589.88
  4. Step 4: Simplify right side
    199,292.98x = 27,659,697,065.18
  5. Step 5: Solve for x
    x = 27,659,697,065.18/199,292.98
  6. Step 6: Final answer
    x = 138,789.12

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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.