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Finding the Fourth Proportional to 219,447.21, 302,861.80 and 123,960.06

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Solution

The fourth proportional to 219,447.21, 302,861.80 and 123,960.06 is: 171,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,447.21 : 302,861.80 = 123,960.06 : x
  2. Step 2: Convert to fraction form
    219,447.21/302,861.80 = 123,960.06/x
  3. Step 3: Cross multiply
    219,447.21x = 302,861.80 × 123,960.06
  4. Step 4: Simplify right side
    219,447.21x = 37,542,766,357.38
  5. Step 5: Solve for x
    x = 37,542,766,357.38/219,447.21
  6. Step 6: Final answer
    x = 171,078.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.