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Finding the Fourth Proportional to 196,193.50, 294,293.03 and 55,952.13

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Solution

The fourth proportional to 196,193.50, 294,293.03 and 55,952.13 is: 83,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,193.50 : 294,293.03 = 55,952.13 : x
  2. Step 2: Convert to fraction form
    196,193.50/294,293.03 = 55,952.13/x
  3. Step 3: Cross multiply
    196,193.50x = 294,293.03 × 55,952.13
  4. Step 4: Simplify right side
    196,193.50x = 16,466,321,872.65
  5. Step 5: Solve for x
    x = 16,466,321,872.65/196,193.50
  6. Step 6: Final answer
    x = 83,928.99

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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.