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Finding the Fourth Proportional to 199,814.34, 299,869.44 and 94,633.62

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Solution

The fourth proportional to 199,814.34, 299,869.44 and 94,633.62 is: 142,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,814.34 : 299,869.44 = 94,633.62 : x
  2. Step 2: Convert to fraction form
    199,814.34/299,869.44 = 94,633.62/x
  3. Step 3: Cross multiply
    199,814.34x = 299,869.44 × 94,633.62
  4. Step 4: Simplify right side
    199,814.34x = 28,377,729,687.50
  5. Step 5: Solve for x
    x = 28,377,729,687.50/199,814.34
  6. Step 6: Final answer
    x = 142,020.48

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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.