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Finding the Fourth Proportional to 275,366.27, 413,167.80 and 149,096.75

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Solution

The fourth proportional to 275,366.27, 413,167.80 and 149,096.75 is: 223,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,366.27 : 413,167.80 = 149,096.75 : x
  2. Step 2: Convert to fraction form
    275,366.27/413,167.80 = 149,096.75/x
  3. Step 3: Cross multiply
    275,366.27x = 413,167.80 × 149,096.75
  4. Step 4: Simplify right side
    275,366.27x = 61,601,974,118.81
  5. Step 5: Solve for x
    x = 61,601,974,118.81/275,366.27
  6. Step 6: Final answer
    x = 223,709.22

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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.