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Finding the Fourth Proportional to 213,369.74, 320,255.49 and 108,264.14

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Solution

The fourth proportional to 213,369.74, 320,255.49 and 108,264.14 is: 162,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,369.74 : 320,255.49 = 108,264.14 : x
  2. Step 2: Convert to fraction form
    213,369.74/320,255.49 = 108,264.14/x
  3. Step 3: Cross multiply
    213,369.74x = 320,255.49 × 108,264.14
  4. Step 4: Simplify right side
    213,369.74x = 34,672,185,205.13
  5. Step 5: Solve for x
    x = 34,672,185,205.13/213,369.74
  6. Step 6: Final answer
    x = 162,498.14

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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.