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Finding the Fourth Proportional to 146,135.20, 219,202.80 and 35,327.20

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Solution

The fourth proportional to 146,135.20, 219,202.80 and 35,327.20 is: 52,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135.20 : 219,202.80 = 35,327.20 : x
  2. Step 2: Convert to fraction form
    146,135.20/219,202.80 = 35,327.20/x
  3. Step 3: Cross multiply
    146,135.20x = 219,202.80 × 35,327.20
  4. Step 4: Simplify right side
    146,135.20x = 7,743,821,156.16
  5. Step 5: Solve for x
    x = 7,743,821,156.16/146,135.20
  6. Step 6: Final answer
    x = 52,990.80

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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.