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Finding the Fourth Proportional to 159,442.25, 239,174.31 and 52,826

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Solution

The fourth proportional to 159,442.25, 239,174.31 and 52,826 is: 79,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,442.25 : 239,174.31 = 52,826 : x
  2. Step 2: Convert to fraction form
    159,442.25/239,174.31 = 52,826/x
  3. Step 3: Cross multiply
    159,442.25x = 239,174.31 × 52,826
  4. Step 4: Simplify right side
    159,442.25x = 12,634,622,100.06
  5. Step 5: Solve for x
    x = 12,634,622,100.06/159,442.25
  6. Step 6: Final answer
    x = 79,242.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.