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Finding the Fourth Proportional to 199,207.20, 274,905.93 and 109,783.20

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Solution

The fourth proportional to 199,207.20, 274,905.93 and 109,783.20 is: 151,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,207.20 : 274,905.93 = 109,783.20 : x
  2. Step 2: Convert to fraction form
    199,207.20/274,905.93 = 109,783.20/x
  3. Step 3: Cross multiply
    199,207.20x = 274,905.93 × 109,783.20
  4. Step 4: Simplify right side
    199,207.20x = 30,180,052,694.38
  5. Step 5: Solve for x
    x = 30,180,052,694.38/199,207.20
  6. Step 6: Final answer
    x = 151,500.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.