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Finding the Fourth Proportional to 196,069.50, 270,576.15 and 106,645.50

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Solution

The fourth proportional to 196,069.50, 270,576.15 and 106,645.50 is: 147,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,069.50 : 270,576.15 = 106,645.50 : x
  2. Step 2: Convert to fraction form
    196,069.50/270,576.15 = 106,645.50/x
  3. Step 3: Cross multiply
    196,069.50x = 270,576.15 × 106,645.50
  4. Step 4: Simplify right side
    196,069.50x = 28,855,728,804.83
  5. Step 5: Solve for x
    x = 28,855,728,804.83/196,069.50
  6. Step 6: Final answer
    x = 147,170.92

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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.