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Finding the Fourth Proportional to 230,622.62, 345,933.77 and 72,851.06

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Solution

The fourth proportional to 230,622.62, 345,933.77 and 72,851.06 is: 109,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,622.62 : 345,933.77 = 72,851.06 : x
  2. Step 2: Convert to fraction form
    230,622.62/345,933.77 = 72,851.06/x
  3. Step 3: Cross multiply
    230,622.62x = 345,933.77 × 72,851.06
  4. Step 4: Simplify right side
    230,622.62x = 25,201,642,334.88
  5. Step 5: Solve for x
    x = 25,201,642,334.88/230,622.62
  6. Step 6: Final answer
    x = 109,276.54

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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.