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Finding the Fourth Proportional to 232,858.53, 321,379.58 and 142,266.85

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Solution

The fourth proportional to 232,858.53, 321,379.58 and 142,266.85 is: 196,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,858.53 : 321,379.58 = 142,266.85 : x
  2. Step 2: Convert to fraction form
    232,858.53/321,379.58 = 142,266.85/x
  3. Step 3: Cross multiply
    232,858.53x = 321,379.58 × 142,266.85
  4. Step 4: Simplify right side
    232,858.53x = 45,721,660,053.14
  5. Step 5: Solve for x
    x = 45,721,660,053.14/232,858.53
  6. Step 6: Final answer
    x = 196,349.52

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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.