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Finding the Fourth Proportional to 227,412.99, 341,198.13 and 77,758.64

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Solution

The fourth proportional to 227,412.99, 341,198.13 and 77,758.64 is: 116,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,412.99 : 341,198.13 = 77,758.64 : x
  2. Step 2: Convert to fraction form
    227,412.99/341,198.13 = 77,758.64/x
  3. Step 3: Cross multiply
    227,412.99x = 341,198.13 × 77,758.64
  4. Step 4: Simplify right side
    227,412.99x = 26,531,100,853.35
  5. Step 5: Solve for x
    x = 26,531,100,853.35/227,412.99
  6. Step 6: Final answer
    x = 116,664.84

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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.