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Finding the Fourth Proportional to 219,226.40, 328,839.60 and 61,481.60

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Solution

The fourth proportional to 219,226.40, 328,839.60 and 61,481.60 is: 92,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,226.40 : 328,839.60 = 61,481.60 : x
  2. Step 2: Convert to fraction form
    219,226.40/328,839.60 = 61,481.60/x
  3. Step 3: Cross multiply
    219,226.40x = 328,839.60 × 61,481.60
  4. Step 4: Simplify right side
    219,226.40x = 20,217,584,751.36
  5. Step 5: Solve for x
    x = 20,217,584,751.36/219,226.40
  6. Step 6: Final answer
    x = 92,222.40

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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.