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Finding the Fourth Proportional to 177,857.14, 266,786.14 and 72,676.10

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Solution

The fourth proportional to 177,857.14, 266,786.14 and 72,676.10 is: 109,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,857.14 : 266,786.14 = 72,676.10 : x
  2. Step 2: Convert to fraction form
    177,857.14/266,786.14 = 72,676.10/x
  3. Step 3: Cross multiply
    177,857.14x = 266,786.14 × 72,676.10
  4. Step 4: Simplify right side
    177,857.14x = 19,388,976,189.25
  5. Step 5: Solve for x
    x = 19,388,976,189.25/177,857.14
  6. Step 6: Final answer
    x = 109,014.33

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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.