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Finding the Fourth Proportional to 265,292.57, 397,954.44 and 75,738.37

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Solution

The fourth proportional to 265,292.57, 397,954.44 and 75,738.37 is: 113,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,292.57 : 397,954.44 = 75,738.37 : x
  2. Step 2: Convert to fraction form
    265,292.57/397,954.44 = 75,738.37/x
  3. Step 3: Cross multiply
    265,292.57x = 397,954.44 × 75,738.37
  4. Step 4: Simplify right side
    265,292.57x = 30,140,420,619.86
  5. Step 5: Solve for x
    x = 30,140,420,619.86/265,292.57
  6. Step 6: Final answer
    x = 113,612.00

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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.