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Finding the Fourth Proportional to 265,501.92, 398,189.97 and 75,956.43

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Solution

The fourth proportional to 265,501.92, 398,189.97 and 75,956.43 is: 113,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,501.92 : 398,189.97 = 75,956.43 : x
  2. Step 2: Convert to fraction form
    265,501.92/398,189.97 = 75,956.43/x
  3. Step 3: Cross multiply
    265,501.92x = 398,189.97 × 75,956.43
  4. Step 4: Simplify right side
    265,501.92x = 30,245,088,583.01
  5. Step 5: Solve for x
    x = 30,245,088,583.01/265,501.92
  6. Step 6: Final answer
    x = 113,916.65

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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.