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Finding the Fourth Proportional to 133,162.38, 199,744.32 and 44,415.64

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Solution

The fourth proportional to 133,162.38, 199,744.32 and 44,415.64 is: 66,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,162.38 : 199,744.32 = 44,415.64 : x
  2. Step 2: Convert to fraction form
    133,162.38/199,744.32 = 44,415.64/x
  3. Step 3: Cross multiply
    133,162.38x = 199,744.32 × 44,415.64
  4. Step 4: Simplify right side
    133,162.38x = 8,871,771,809.16
  5. Step 5: Solve for x
    x = 8,871,771,809.16/133,162.38
  6. Step 6: Final answer
    x = 66,623.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.