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Finding the Fourth Proportional to 219,538.98, 329,270.10 and 61,729.92

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Solution

The fourth proportional to 219,538.98, 329,270.10 and 61,729.92 is: 92,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,538.98 : 329,270.10 = 61,729.92 : x
  2. Step 2: Convert to fraction form
    219,538.98/329,270.10 = 61,729.92/x
  3. Step 3: Cross multiply
    219,538.98x = 329,270.10 × 61,729.92
  4. Step 4: Simplify right side
    219,538.98x = 20,325,816,931.39
  5. Step 5: Solve for x
    x = 20,325,816,931.39/219,538.98
  6. Step 6: Final answer
    x = 92,584.09

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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.