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Finding the Fourth Proportional to 199,234.84, 298,898.98 and 79,299.05

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Solution

The fourth proportional to 199,234.84, 298,898.98 and 79,299.05 is: 118,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,234.84 : 298,898.98 = 79,299.05 : x
  2. Step 2: Convert to fraction form
    199,234.84/298,898.98 = 79,299.05/x
  3. Step 3: Cross multiply
    199,234.84x = 298,898.98 × 79,299.05
  4. Step 4: Simplify right side
    199,234.84x = 23,702,405,159.97
  5. Step 5: Solve for x
    x = 23,702,405,159.97/199,234.84
  6. Step 6: Final answer
    x = 118,967.17

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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.