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Finding the Fourth Proportional to 226,798.11, 340,273.70 and 100,421.10

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Solution

The fourth proportional to 226,798.11, 340,273.70 and 100,421.10 is: 150,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,798.11 : 340,273.70 = 100,421.10 : x
  2. Step 2: Convert to fraction form
    226,798.11/340,273.70 = 100,421.10/x
  3. Step 3: Cross multiply
    226,798.11x = 340,273.70 × 100,421.10
  4. Step 4: Simplify right side
    226,798.11x = 34,170,659,255.07
  5. Step 5: Solve for x
    x = 34,170,659,255.07/226,798.11
  6. Step 6: Final answer
    x = 150,665.54

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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.