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Finding the Fourth Proportional to 189,903.92, 262,133.33 and 109,363.52

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Solution

The fourth proportional to 189,903.92, 262,133.33 and 109,363.52 is: 150,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,903.92 : 262,133.33 = 109,363.52 : x
  2. Step 2: Convert to fraction form
    189,903.92/262,133.33 = 109,363.52/x
  3. Step 3: Cross multiply
    189,903.92x = 262,133.33 × 109,363.52
  4. Step 4: Simplify right side
    189,903.92x = 28,667,823,786.64
  5. Step 5: Solve for x
    x = 28,667,823,786.64/189,903.92
  6. Step 6: Final answer
    x = 150,959.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.