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Finding the Fourth Proportional to 226,495.40, 340,002.30 and 133,053.80

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Solution

The fourth proportional to 226,495.40, 340,002.30 and 133,053.80 is: 199,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,495.40 : 340,002.30 = 133,053.80 : x
  2. Step 2: Convert to fraction form
    226,495.40/340,002.30 = 133,053.80/x
  3. Step 3: Cross multiply
    226,495.40x = 340,002.30 × 133,053.80
  4. Step 4: Simplify right side
    226,495.40x = 45,238,598,023.74
  5. Step 5: Solve for x
    x = 45,238,598,023.74/226,495.40
  6. Step 6: Final answer
    x = 199,732.97

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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.