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Finding the Fourth Proportional to 254,200.63, 381,074.42 and 96,539.80

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Solution

The fourth proportional to 254,200.63, 381,074.42 and 96,539.80 is: 144,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,200.63 : 381,074.42 = 96,539.80 : x
  2. Step 2: Convert to fraction form
    254,200.63/381,074.42 = 96,539.80/x
  3. Step 3: Cross multiply
    254,200.63x = 381,074.42 × 96,539.80
  4. Step 4: Simplify right side
    254,200.63x = 36,788,848,295.09
  5. Step 5: Solve for x
    x = 36,788,848,295.09/254,200.63
  6. Step 6: Final answer
    x = 144,723.67

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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.