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Finding the Fourth Proportional to 257,055.10, 354,685.63 and 161,506.44

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Solution

The fourth proportional to 257,055.10, 354,685.63 and 161,506.44 is: 222,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,055.10 : 354,685.63 = 161,506.44 : x
  2. Step 2: Convert to fraction form
    257,055.10/354,685.63 = 161,506.44/x
  3. Step 3: Cross multiply
    257,055.10x = 354,685.63 × 161,506.44
  4. Step 4: Simplify right side
    257,055.10x = 57,284,013,420.46
  5. Step 5: Solve for x
    x = 57,284,013,420.46/257,055.10
  6. Step 6: Final answer
    x = 222,847.22

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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.