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Finding the Fourth Proportional to 226,864.40, 340,442.40 and 132,094.40

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Solution

The fourth proportional to 226,864.40, 340,442.40 and 132,094.40 is: 198,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,864.40 : 340,442.40 = 132,094.40 : x
  2. Step 2: Convert to fraction form
    226,864.40/340,442.40 = 132,094.40/x
  3. Step 3: Cross multiply
    226,864.40x = 340,442.40 × 132,094.40
  4. Step 4: Simplify right side
    226,864.40x = 44,970,534,562.56
  5. Step 5: Solve for x
    x = 44,970,534,562.56/226,864.40
  6. Step 6: Final answer
    x = 198,226.49

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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.