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Finding the Fourth Proportional to 226,826.40, 340,225.83 and 100,429.68

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Solution

The fourth proportional to 226,826.40, 340,225.83 and 100,429.68 is: 150,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,826.40 : 340,225.83 = 100,429.68 : x
  2. Step 2: Convert to fraction form
    226,826.40/340,225.83 = 100,429.68/x
  3. Step 3: Cross multiply
    226,826.40x = 340,225.83 × 100,429.68
  4. Step 4: Simplify right side
    226,826.40x = 34,168,771,234.63
  5. Step 5: Solve for x
    x = 34,168,771,234.63/226,826.40
  6. Step 6: Final answer
    x = 150,638.42

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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.