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Finding the Fourth Proportional to 199,142.96, 298,703.50 and 80,782.52

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Solution

The fourth proportional to 199,142.96, 298,703.50 and 80,782.52 is: 121,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,142.96 : 298,703.50 = 80,782.52 : x
  2. Step 2: Convert to fraction form
    199,142.96/298,703.50 = 80,782.52/x
  3. Step 3: Cross multiply
    199,142.96x = 298,703.50 × 80,782.52
  4. Step 4: Simplify right side
    199,142.96x = 24,130,019,767.35
  5. Step 5: Solve for x
    x = 24,130,019,767.35/199,142.96
  6. Step 6: Final answer
    x = 121,169.34

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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.