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Finding the Fourth Proportional to 227,008.36, 340,457.73 and 100,578.70

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Solution

The fourth proportional to 227,008.36, 340,457.73 and 100,578.70 is: 150,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,008.36 : 340,457.73 = 100,578.70 : x
  2. Step 2: Convert to fraction form
    227,008.36/340,457.73 = 100,578.70/x
  3. Step 3: Cross multiply
    227,008.36x = 340,457.73 × 100,578.70
  4. Step 4: Simplify right side
    227,008.36x = 34,242,795,888.35
  5. Step 5: Solve for x
    x = 34,242,795,888.35/227,008.36
  6. Step 6: Final answer
    x = 150,843.77

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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.