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Finding the Fourth Proportional to 140,050, 193,269 and 89,752.24

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Solution

The fourth proportional to 140,050, 193,269 and 89,752.24 is: 123,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,050 : 193,269 = 89,752.24 : x
  2. Step 2: Convert to fraction form
    140,050/193,269 = 89,752.24/x
  3. Step 3: Cross multiply
    140,050x = 193,269 × 89,752.24
  4. Step 4: Simplify right side
    140,050x = 17,346,325,672.56
  5. Step 5: Solve for x
    x = 17,346,325,672.56/140,050
  6. Step 6: Final answer
    x = 123,858.09

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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.