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Finding the Fourth Proportional to 232,611.84, 321,039.66 and 142,020.60

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Solution

The fourth proportional to 232,611.84, 321,039.66 and 142,020.60 is: 196,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,611.84 : 321,039.66 = 142,020.60 : x
  2. Step 2: Convert to fraction form
    232,611.84/321,039.66 = 142,020.60/x
  3. Step 3: Cross multiply
    232,611.84x = 321,039.66 × 142,020.60
  4. Step 4: Simplify right side
    232,611.84x = 45,594,245,137.00
  5. Step 5: Solve for x
    x = 45,594,245,137.00/232,611.84
  6. Step 6: Final answer
    x = 196,009.99

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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.