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Finding the Fourth Proportional to 133,825.64, 200,738.22 and 73,851.20

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Solution

The fourth proportional to 133,825.64, 200,738.22 and 73,851.20 is: 110,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825.64 : 200,738.22 = 73,851.20 : x
  2. Step 2: Convert to fraction form
    133,825.64/200,738.22 = 73,851.20/x
  3. Step 3: Cross multiply
    133,825.64x = 200,738.22 × 73,851.20
  4. Step 4: Simplify right side
    133,825.64x = 14,824,758,432.86
  5. Step 5: Solve for x
    x = 14,824,758,432.86/133,825.64
  6. Step 6: Final answer
    x = 110,776.67

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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.