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Finding the Fourth Proportional to 232,997, 349,406.70 and 83,209.32

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Solution

The fourth proportional to 232,997, 349,406.70 and 83,209.32 is: 124,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,997 : 349,406.70 = 83,209.32 : x
  2. Step 2: Convert to fraction form
    232,997/349,406.70 = 83,209.32/x
  3. Step 3: Cross multiply
    232,997x = 349,406.70 × 83,209.32
  4. Step 4: Simplify right side
    232,997x = 29,073,893,910.44
  5. Step 5: Solve for x
    x = 29,073,893,910.44/232,997
  6. Step 6: Final answer
    x = 124,782.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.