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Finding the Fourth Proportional to 642,168.70, 963,404.05 and 186,769.98

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Solution

The fourth proportional to 642,168.70, 963,404.05 and 186,769.98 is: 280,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,168.70 : 963,404.05 = 186,769.98 : x
  2. Step 2: Convert to fraction form
    642,168.70/963,404.05 = 186,769.98/x
  3. Step 3: Cross multiply
    642,168.70x = 963,404.05 × 186,769.98
  4. Step 4: Simplify right side
    642,168.70x = 179,934,958,945.95
  5. Step 5: Solve for x
    x = 179,934,958,945.95/642,168.70
  6. Step 6: Final answer
    x = 280,198.89

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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.