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Finding the Fourth Proportional to 203,742.50, 305,544.53 and 70,591.67

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Solution

The fourth proportional to 203,742.50, 305,544.53 and 70,591.67 is: 105,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,742.50 : 305,544.53 = 70,591.67 : x
  2. Step 2: Convert to fraction form
    203,742.50/305,544.53 = 70,591.67/x
  3. Step 3: Cross multiply
    203,742.50x = 305,544.53 × 70,591.67
  4. Step 4: Simplify right side
    203,742.50x = 21,568,897,280.82
  5. Step 5: Solve for x
    x = 21,568,897,280.82/203,742.50
  6. Step 6: Final answer
    x = 105,863.52

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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.