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Finding the Fourth Proportional to 265,791.24, 398,832.66 and 107,977.32

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Solution

The fourth proportional to 265,791.24, 398,832.66 and 107,977.32 is: 162,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,791.24 : 398,832.66 = 107,977.32 : x
  2. Step 2: Convert to fraction form
    265,791.24/398,832.66 = 107,977.32/x
  3. Step 3: Cross multiply
    265,791.24x = 398,832.66 × 107,977.32
  4. Step 4: Simplify right side
    265,791.24x = 43,064,881,755.27
  5. Step 5: Solve for x
    x = 43,064,881,755.27/265,791.24
  6. Step 6: Final answer
    x = 162,025.21

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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.