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Finding the Fourth Proportional to 194,613.80, 291,306.30 and 188,469.80

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Solution

The fourth proportional to 194,613.80, 291,306.30 and 188,469.80 is: 282,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,613.80 : 291,306.30 = 188,469.80 : x
  2. Step 2: Convert to fraction form
    194,613.80/291,306.30 = 188,469.80/x
  3. Step 3: Cross multiply
    194,613.80x = 291,306.30 × 188,469.80
  4. Step 4: Simplify right side
    194,613.80x = 54,902,440,099.74
  5. Step 5: Solve for x
    x = 54,902,440,099.74/194,613.80
  6. Step 6: Final answer
    x = 282,109.70

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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.