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Finding the Fourth Proportional to 190,577.60, 263,013.24 and 105,722

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Solution

The fourth proportional to 190,577.60, 263,013.24 and 105,722 is: 145,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,577.60 : 263,013.24 = 105,722 : x
  2. Step 2: Convert to fraction form
    190,577.60/263,013.24 = 105,722/x
  3. Step 3: Cross multiply
    190,577.60x = 263,013.24 × 105,722
  4. Step 4: Simplify right side
    190,577.60x = 27,806,285,759.28
  5. Step 5: Solve for x
    x = 27,806,285,759.28/190,577.60
  6. Step 6: Final answer
    x = 145,905.32

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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.