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Finding the Fourth Proportional to 213,833.92, 320,747.52 and 73,593.76

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Solution

The fourth proportional to 213,833.92, 320,747.52 and 73,593.76 is: 110,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,833.92 : 320,747.52 = 73,593.76 : x
  2. Step 2: Convert to fraction form
    213,833.92/320,747.52 = 73,593.76/x
  3. Step 3: Cross multiply
    213,833.92x = 320,747.52 × 73,593.76
  4. Step 4: Simplify right side
    213,833.92x = 23,605,016,007.48
  5. Step 5: Solve for x
    x = 23,605,016,007.48/213,833.92
  6. Step 6: Final answer
    x = 110,389.48

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1.5x scale

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.