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Finding the Fourth Proportional to 233,185.30, 321,786.21 and 137,722.90

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Solution

The fourth proportional to 233,185.30, 321,786.21 and 137,722.90 is: 190,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,185.30 : 321,786.21 = 137,722.90 : x
  2. Step 2: Convert to fraction form
    233,185.30/321,786.21 = 137,722.90/x
  3. Step 3: Cross multiply
    233,185.30x = 321,786.21 × 137,722.90
  4. Step 4: Simplify right side
    233,185.30x = 44,317,330,021.21
  5. Step 5: Solve for x
    x = 44,317,330,021.21/233,185.30
  6. Step 6: Final answer
    x = 190,051.99

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