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Finding the Fourth Proportional to 196,515.72, 294,773.72 and 84,123.02

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Solution

The fourth proportional to 196,515.72, 294,773.72 and 84,123.02 is: 126,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,515.72 : 294,773.72 = 84,123.02 : x
  2. Step 2: Convert to fraction form
    196,515.72/294,773.72 = 84,123.02/x
  3. Step 3: Cross multiply
    196,515.72x = 294,773.72 × 84,123.02
  4. Step 4: Simplify right side
    196,515.72x = 24,797,255,859.35
  5. Step 5: Solve for x
    x = 24,797,255,859.35/196,515.72
  6. Step 6: Final answer
    x = 126,184.59

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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.