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Finding the Fourth Proportional to 275,434.02, 413,098.38 and 75,704.22

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Solution

The fourth proportional to 275,434.02, 413,098.38 and 75,704.22 is: 113,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,434.02 : 413,098.38 = 75,704.22 : x
  2. Step 2: Convert to fraction form
    275,434.02/413,098.38 = 75,704.22/x
  3. Step 3: Cross multiply
    275,434.02x = 413,098.38 × 75,704.22
  4. Step 4: Simplify right side
    275,434.02x = 31,273,290,641.16
  5. Step 5: Solve for x
    x = 31,273,290,641.16/275,434.02
  6. Step 6: Final answer
    x = 113,541.86

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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.