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Finding the Fourth Proportional to 232,604.88, 321,023.28 and 141,958.60

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Solution

The fourth proportional to 232,604.88, 321,023.28 and 141,958.60 is: 195,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,604.88 : 321,023.28 = 141,958.60 : x
  2. Step 2: Convert to fraction form
    232,604.88/321,023.28 = 141,958.60/x
  3. Step 3: Cross multiply
    232,604.88x = 321,023.28 × 141,958.60
  4. Step 4: Simplify right side
    232,604.88x = 45,572,015,396.21
  5. Step 5: Solve for x
    x = 45,572,015,396.21/232,604.88
  6. Step 6: Final answer
    x = 195,920.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.