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Finding the Fourth Proportional to 213,927.26, 320,886.57 and 73,682.78

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Solution

The fourth proportional to 213,927.26, 320,886.57 and 73,682.78 is: 110,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,927.26 : 320,886.57 = 73,682.78 : x
  2. Step 2: Convert to fraction form
    213,927.26/320,886.57 = 73,682.78/x
  3. Step 3: Cross multiply
    213,927.26x = 320,886.57 × 73,682.78
  4. Step 4: Simplify right side
    213,927.26x = 23,643,814,542.26
  5. Step 5: Solve for x
    x = 23,643,814,542.26/213,927.26
  6. Step 6: Final answer
    x = 110,522.68

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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.