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Finding the Fourth Proportional to 180,027, 248,437.26 and 100,539

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Solution

The fourth proportional to 180,027, 248,437.26 and 100,539 is: 138,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,027 : 248,437.26 = 100,539 : x
  2. Step 2: Convert to fraction form
    180,027/248,437.26 = 100,539/x
  3. Step 3: Cross multiply
    180,027x = 248,437.26 × 100,539
  4. Step 4: Simplify right side
    180,027x = 24,977,633,683.14
  5. Step 5: Solve for x
    x = 24,977,633,683.14/180,027
  6. Step 6: Final answer
    x = 138,743.82

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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.