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Finding the Fourth Proportional to 199,114.69, 274,778.16 and 109,690.69

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Solution

The fourth proportional to 199,114.69, 274,778.16 and 109,690.69 is: 151,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,114.69 : 274,778.16 = 109,690.69 : x
  2. Step 2: Convert to fraction form
    199,114.69/274,778.16 = 109,690.69/x
  3. Step 3: Cross multiply
    199,114.69x = 274,778.16 × 109,690.69
  4. Step 4: Simplify right side
    199,114.69x = 30,140,605,967.33
  5. Step 5: Solve for x
    x = 30,140,605,967.33/199,114.69
  6. Step 6: Final answer
    x = 151,373.09

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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.