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Finding the Fourth Proportional to 140,194.96, 210,295.36 and 50,243.52

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Solution

The fourth proportional to 140,194.96, 210,295.36 and 50,243.52 is: 75,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,194.96 : 210,295.36 = 50,243.52 : x
  2. Step 2: Convert to fraction form
    140,194.96/210,295.36 = 50,243.52/x
  3. Step 3: Cross multiply
    140,194.96x = 210,295.36 × 50,243.52
  4. Step 4: Simplify right side
    140,194.96x = 10,565,979,126.07
  5. Step 5: Solve for x
    x = 10,565,979,126.07/140,194.96
  6. Step 6: Final answer
    x = 75,366.33

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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.