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Finding the Fourth Proportional to 140,353, 210,565.98 and 41,857

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Solution

The fourth proportional to 140,353, 210,565.98 and 41,857 is: 62,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,353 : 210,565.98 = 41,857 : x
  2. Step 2: Convert to fraction form
    140,353/210,565.98 = 41,857/x
  3. Step 3: Cross multiply
    140,353x = 210,565.98 × 41,857
  4. Step 4: Simplify right side
    140,353x = 8,813,660,224.86
  5. Step 5: Solve for x
    x = 8,813,660,224.86/140,353
  6. Step 6: Final answer
    x = 62,796.38

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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.