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Finding the Fourth Proportional to 199,821.64, 299,724.21 and 111,018.50

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Solution

The fourth proportional to 199,821.64, 299,724.21 and 111,018.50 is: 166,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,821.64 : 299,724.21 = 111,018.50 : x
  2. Step 2: Convert to fraction form
    199,821.64/299,724.21 = 111,018.50/x
  3. Step 3: Cross multiply
    199,821.64x = 299,724.21 × 111,018.50
  4. Step 4: Simplify right side
    199,821.64x = 33,274,932,207.89
  5. Step 5: Solve for x
    x = 33,274,932,207.89/199,821.64
  6. Step 6: Final answer
    x = 166,523.17

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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.