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Finding the Fourth Proportional to 226,626.48, 339,978.60 and 121,417.20

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Solution

The fourth proportional to 226,626.48, 339,978.60 and 121,417.20 is: 182,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,626.48 : 339,978.60 = 121,417.20 : x
  2. Step 2: Convert to fraction form
    226,626.48/339,978.60 = 121,417.20/x
  3. Step 3: Cross multiply
    226,626.48x = 339,978.60 × 121,417.20
  4. Step 4: Simplify right side
    226,626.48x = 41,279,249,671.92
  5. Step 5: Solve for x
    x = 41,279,249,671.92/226,626.48
  6. Step 6: Final answer
    x = 182,146.63

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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.