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Finding the Fourth Proportional to 199,469.94, 299,234.70 and 64,488.84

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Solution

The fourth proportional to 199,469.94, 299,234.70 and 64,488.84 is: 96,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469.94 : 299,234.70 = 64,488.84 : x
  2. Step 2: Convert to fraction form
    199,469.94/299,234.70 = 64,488.84/x
  3. Step 3: Cross multiply
    199,469.94x = 299,234.70 × 64,488.84
  4. Step 4: Simplify right side
    199,469.94x = 19,297,298,690.75
  5. Step 5: Solve for x
    x = 19,297,298,690.75/199,469.94
  6. Step 6: Final answer
    x = 96,742.89

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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.