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Finding the Fourth Proportional to 265,161.88, 397,739.22 and 96,719.32

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Solution

The fourth proportional to 265,161.88, 397,739.22 and 96,719.32 is: 145,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,161.88 : 397,739.22 = 96,719.32 : x
  2. Step 2: Convert to fraction form
    265,161.88/397,739.22 = 96,719.32/x
  3. Step 3: Cross multiply
    265,161.88x = 397,739.22 × 96,719.32
  4. Step 4: Simplify right side
    265,161.88x = 38,469,066,895.73
  5. Step 5: Solve for x
    x = 38,469,066,895.73/265,161.88
  6. Step 6: Final answer
    x = 145,077.67

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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.