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Finding the Fourth Proportional to 109,201.92, 163,784.62 and 30,324.12

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Solution

The fourth proportional to 109,201.92, 163,784.62 and 30,324.12 is: 45,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.92 : 163,784.62 = 30,324.12 : x
  2. Step 2: Convert to fraction form
    109,201.92/163,784.62 = 30,324.12/x
  3. Step 3: Cross multiply
    109,201.92x = 163,784.62 × 30,324.12
  4. Step 4: Simplify right side
    109,201.92x = 4,966,624,471.03
  5. Step 5: Solve for x
    x = 4,966,624,471.03/109,201.92
  6. Step 6: Final answer
    x = 45,481.11

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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.