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Finding the Fourth Proportional to 200,773.08, 300,567.90 and 175,861.78

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Solution

The fourth proportional to 200,773.08, 300,567.90 and 175,861.78 is: 263,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,773.08 : 300,567.90 = 175,861.78 : x
  2. Step 2: Convert to fraction form
    200,773.08/300,567.90 = 175,861.78/x
  3. Step 3: Cross multiply
    200,773.08x = 300,567.90 × 175,861.78
  4. Step 4: Simplify right side
    200,773.08x = 52,858,405,812.92
  5. Step 5: Solve for x
    x = 52,858,405,812.92/200,773.08
  6. Step 6: Final answer
    x = 263,274.37

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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.