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Finding the Fourth Proportional to 232,817.84, 321,297.12 and 130,845.36

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Solution

The fourth proportional to 232,817.84, 321,297.12 and 130,845.36 is: 180,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,817.84 : 321,297.12 = 130,845.36 : x
  2. Step 2: Convert to fraction form
    232,817.84/321,297.12 = 130,845.36/x
  3. Step 3: Cross multiply
    232,817.84x = 321,297.12 × 130,845.36
  4. Step 4: Simplify right side
    232,817.84x = 42,040,237,333.36
  5. Step 5: Solve for x
    x = 42,040,237,333.36/232,817.84
  6. Step 6: Final answer
    x = 180,571.37

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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.