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Finding the Fourth Proportional to 232,782.36, 321,163.02 and 135,963.96

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Solution

The fourth proportional to 232,782.36, 321,163.02 and 135,963.96 is: 187,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,782.36 : 321,163.02 = 135,963.96 : x
  2. Step 2: Convert to fraction form
    232,782.36/321,163.02 = 135,963.96/x
  3. Step 3: Cross multiply
    232,782.36x = 321,163.02 × 135,963.96
  4. Step 4: Simplify right side
    232,782.36x = 43,666,596,004.76
  5. Step 5: Solve for x
    x = 43,666,596,004.76/232,782.36
  6. Step 6: Final answer
    x = 187,585.50

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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.