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Finding the Fourth Proportional to 226,141.50, 339,367.77 and 78,397.50

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Solution

The fourth proportional to 226,141.50, 339,367.77 and 78,397.50 is: 117,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,141.50 : 339,367.77 = 78,397.50 : x
  2. Step 2: Convert to fraction form
    226,141.50/339,367.77 = 78,397.50/x
  3. Step 3: Cross multiply
    226,141.50x = 339,367.77 × 78,397.50
  4. Step 4: Simplify right side
    226,141.50x = 26,605,584,748.58
  5. Step 5: Solve for x
    x = 26,605,584,748.58/226,141.50
  6. Step 6: Final answer
    x = 117,650.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.