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Finding the Fourth Proportional to 232,003.14, 320,190.90 and 130,056.14

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Solution

The fourth proportional to 232,003.14, 320,190.90 and 130,056.14 is: 179,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.14 : 320,190.90 = 130,056.14 : x
  2. Step 2: Convert to fraction form
    232,003.14/320,190.90 = 130,056.14/x
  3. Step 3: Cross multiply
    232,003.14x = 320,190.90 × 130,056.14
  4. Step 4: Simplify right side
    232,003.14x = 41,642,792,517.13
  5. Step 5: Solve for x
    x = 41,642,792,517.13/232,003.14
  6. Step 6: Final answer
    x = 179,492.37

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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.