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Finding the Fourth Proportional to 182,385, 273,578.72 and 57,726

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Solution

The fourth proportional to 182,385, 273,578.72 and 57,726 is: 86,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,385 : 273,578.72 = 57,726 : x
  2. Step 2: Convert to fraction form
    182,385/273,578.72 = 57,726/x
  3. Step 3: Cross multiply
    182,385x = 273,578.72 × 57,726
  4. Step 4: Simplify right side
    182,385x = 15,792,604,902.09
  5. Step 5: Solve for x
    x = 15,792,604,902.09/182,385
  6. Step 6: Final answer
    x = 86,589.38

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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.