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Finding the Fourth Proportional to 199,549.57, 275,384.81 and 113,506.33

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Solution

The fourth proportional to 199,549.57, 275,384.81 and 113,506.33 is: 156,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,549.57 : 275,384.81 = 113,506.33 : x
  2. Step 2: Convert to fraction form
    199,549.57/275,384.81 = 113,506.33/x
  3. Step 3: Cross multiply
    199,549.57x = 275,384.81 × 113,506.33
  4. Step 4: Simplify right side
    199,549.57x = 31,257,919,120.85
  5. Step 5: Solve for x
    x = 31,257,919,120.85/199,549.57
  6. Step 6: Final answer
    x = 156,642.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.