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Finding the Fourth Proportional to 257,189.30, 354,921.18 and 142,475.36

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Solution

The fourth proportional to 257,189.30, 354,921.18 and 142,475.36 is: 196,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,189.30 : 354,921.18 = 142,475.36 : x
  2. Step 2: Convert to fraction form
    257,189.30/354,921.18 = 142,475.36/x
  3. Step 3: Cross multiply
    257,189.30x = 354,921.18 × 142,475.36
  4. Step 4: Simplify right side
    257,189.30x = 50,567,522,892.12
  5. Step 5: Solve for x
    x = 50,567,522,892.12/257,189.30
  6. Step 6: Final answer
    x = 196,615.97

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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.