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Finding the Fourth Proportional to 140,173.26, 210,257.91 and 65,251.50

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Solution

The fourth proportional to 140,173.26, 210,257.91 and 65,251.50 is: 97,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,173.26 : 210,257.91 = 65,251.50 : x
  2. Step 2: Convert to fraction form
    140,173.26/210,257.91 = 65,251.50/x
  3. Step 3: Cross multiply
    140,173.26x = 210,257.91 × 65,251.50
  4. Step 4: Simplify right side
    140,173.26x = 13,719,644,014.37
  5. Step 5: Solve for x
    x = 13,719,644,014.37/140,173.26
  6. Step 6: Final answer
    x = 97,876.33

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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.