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Finding the Fourth Proportional to 196,229.80, 294,344.70 and 102,764.20

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Solution

The fourth proportional to 196,229.80, 294,344.70 and 102,764.20 is: 154,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,229.80 : 294,344.70 = 102,764.20 : x
  2. Step 2: Convert to fraction form
    196,229.80/294,344.70 = 102,764.20/x
  3. Step 3: Cross multiply
    196,229.80x = 294,344.70 × 102,764.20
  4. Step 4: Simplify right side
    196,229.80x = 30,248,097,619.74
  5. Step 5: Solve for x
    x = 30,248,097,619.74/196,229.80
  6. Step 6: Final answer
    x = 154,146.30

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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.