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Finding the Fourth Proportional to 257,022.08, 354,676.56 and 143,822.96

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Solution

The fourth proportional to 257,022.08, 354,676.56 and 143,822.96 is: 198,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,022.08 : 354,676.56 = 143,822.96 : x
  2. Step 2: Convert to fraction form
    257,022.08/354,676.56 = 143,822.96/x
  3. Step 3: Cross multiply
    257,022.08x = 354,676.56 × 143,822.96
  4. Step 4: Simplify right side
    257,022.08x = 51,010,632,701.82
  5. Step 5: Solve for x
    x = 51,010,632,701.82/257,022.08
  6. Step 6: Final answer
    x = 198,467.90

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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.