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Finding the Fourth Proportional to 182,720.97, 274,084.47 and 64,393.74

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Solution

The fourth proportional to 182,720.97, 274,084.47 and 64,393.74 is: 96,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,720.97 : 274,084.47 = 64,393.74 : x
  2. Step 2: Convert to fraction form
    182,720.97/274,084.47 = 64,393.74/x
  3. Step 3: Cross multiply
    182,720.97x = 274,084.47 × 64,393.74
  4. Step 4: Simplify right side
    182,720.97x = 17,649,324,099.22
  5. Step 5: Solve for x
    x = 17,649,324,099.22/182,720.97
  6. Step 6: Final answer
    x = 96,591.67

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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.