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Finding the Fourth Proportional to 265,874.64, 398,887.32 and 108,216.24

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Solution

The fourth proportional to 265,874.64, 398,887.32 and 108,216.24 is: 162,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.64 : 398,887.32 = 108,216.24 : x
  2. Step 2: Convert to fraction form
    265,874.64/398,887.32 = 108,216.24/x
  3. Step 3: Cross multiply
    265,874.64x = 398,887.32 × 108,216.24
  4. Step 4: Simplify right side
    265,874.64x = 43,166,085,954.08
  5. Step 5: Solve for x
    x = 43,166,085,954.08/265,874.64
  6. Step 6: Final answer
    x = 162,355.03

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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.