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Finding the Fourth Proportional to 140,493, 210,739.56 and 41,997

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Solution

The fourth proportional to 140,493, 210,739.56 and 41,997 is: 62,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,493 : 210,739.56 = 41,997 : x
  2. Step 2: Convert to fraction form
    140,493/210,739.56 = 41,997/x
  3. Step 3: Cross multiply
    140,493x = 210,739.56 × 41,997
  4. Step 4: Simplify right side
    140,493x = 8,850,429,301.32
  5. Step 5: Solve for x
    x = 8,850,429,301.32/140,493
  6. Step 6: Final answer
    x = 62,995.52

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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.