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Finding the Fourth Proportional to 257,563.06, 355,439.96 and 142,843.98

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Solution

The fourth proportional to 257,563.06, 355,439.96 and 142,843.98 is: 197,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,563.06 : 355,439.96 = 142,843.98 : x
  2. Step 2: Convert to fraction form
    257,563.06/355,439.96 = 142,843.98/x
  3. Step 3: Cross multiply
    257,563.06x = 355,439.96 × 142,843.98
  4. Step 4: Simplify right side
    257,563.06x = 50,772,458,537.44
  5. Step 5: Solve for x
    x = 50,772,458,537.44/257,563.06
  6. Step 6: Final answer
    x = 197,126.32

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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.