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Finding the Fourth Proportional to 147,441.96, 203,474.21 and 83,782.44

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Solution

The fourth proportional to 147,441.96, 203,474.21 and 83,782.44 is: 115,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,441.96 : 203,474.21 = 83,782.44 : x
  2. Step 2: Convert to fraction form
    147,441.96/203,474.21 = 83,782.44/x
  3. Step 3: Cross multiply
    147,441.96x = 203,474.21 × 83,782.44
  4. Step 4: Simplify right side
    147,441.96x = 17,047,565,371.96
  5. Step 5: Solve for x
    x = 17,047,565,371.96/147,441.96
  6. Step 6: Final answer
    x = 115,622.21

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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.