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Finding the Fourth Proportional to 194,613.40, 291,704.10 and 76,245.40

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Solution

The fourth proportional to 194,613.40, 291,704.10 and 76,245.40 is: 114,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,613.40 : 291,704.10 = 76,245.40 : x
  2. Step 2: Convert to fraction form
    194,613.40/291,704.10 = 76,245.40/x
  3. Step 3: Cross multiply
    194,613.40x = 291,704.10 × 76,245.40
  4. Step 4: Simplify right side
    194,613.40x = 22,241,095,786.14
  5. Step 5: Solve for x
    x = 22,241,095,786.14/194,613.40
  6. Step 6: Final answer
    x = 114,283.48

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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.