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Finding the Fourth Proportional to 213,825, 320,589.66 and 153,890.28

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Solution

The fourth proportional to 213,825, 320,589.66 and 153,890.28 is: 230,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,825 : 320,589.66 = 153,890.28 : x
  2. Step 2: Convert to fraction form
    213,825/320,589.66 = 153,890.28/x
  3. Step 3: Cross multiply
    213,825x = 320,589.66 × 153,890.28
  4. Step 4: Simplify right side
    213,825x = 49,335,632,542.50
  5. Step 5: Solve for x
    x = 49,335,632,542.50/213,825
  6. Step 6: Final answer
    x = 230,729.02

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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.