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Finding the Fourth Proportional to 196,374.50, 270,996.82 and 106,950.50

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Solution

The fourth proportional to 196,374.50, 270,996.82 and 106,950.50 is: 147,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.50 : 270,996.82 = 106,950.50 : x
  2. Step 2: Convert to fraction form
    196,374.50/270,996.82 = 106,950.50/x
  3. Step 3: Cross multiply
    196,374.50x = 270,996.82 × 106,950.50
  4. Step 4: Simplify right side
    196,374.50x = 28,983,245,397.41
  5. Step 5: Solve for x
    x = 28,983,245,397.41/196,374.50
  6. Step 6: Final answer
    x = 147,591.70

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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.