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Finding the Fourth Proportional to 255,441.46, 352,509.20 and 142,264.22

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Solution

The fourth proportional to 255,441.46, 352,509.20 and 142,264.22 is: 196,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,441.46 : 352,509.20 = 142,264.22 : x
  2. Step 2: Convert to fraction form
    255,441.46/352,509.20 = 142,264.22/x
  3. Step 3: Cross multiply
    255,441.46x = 352,509.20 × 142,264.22
  4. Step 4: Simplify right side
    255,441.46x = 50,149,446,380.82
  5. Step 5: Solve for x
    x = 50,149,446,380.82/255,441.46
  6. Step 6: Final answer
    x = 196,324.62

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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.