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Finding the Fourth Proportional to 213,414.60, 320,138.16 and 63,643.20

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Solution

The fourth proportional to 213,414.60, 320,138.16 and 63,643.20 is: 95,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,414.60 : 320,138.16 = 63,643.20 : x
  2. Step 2: Convert to fraction form
    213,414.60/320,138.16 = 63,643.20/x
  3. Step 3: Cross multiply
    213,414.60x = 320,138.16 × 63,643.20
  4. Step 4: Simplify right side
    213,414.60x = 20,374,616,944.51
  5. Step 5: Solve for x
    x = 20,374,616,944.51/213,414.60
  6. Step 6: Final answer
    x = 95,469.65

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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.