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Finding the Fourth Proportional to 275,369.41, 413,049.12 and 75,689.02

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Solution

The fourth proportional to 275,369.41, 413,049.12 and 75,689.02 is: 113,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,369.41 : 413,049.12 = 75,689.02 : x
  2. Step 2: Convert to fraction form
    275,369.41/413,049.12 = 75,689.02/x
  3. Step 3: Cross multiply
    275,369.41x = 413,049.12 × 75,689.02
  4. Step 4: Simplify right side
    275,369.41x = 31,263,283,104.66
  5. Step 5: Solve for x
    x = 31,263,283,104.66/275,369.41
  6. Step 6: Final answer
    x = 113,532.16

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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.