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Finding the Fourth Proportional to 104,089.50, 156,138.57 and 30,217.50

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Solution

The fourth proportional to 104,089.50, 156,138.57 and 30,217.50 is: 45,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,089.50 : 156,138.57 = 30,217.50 : x
  2. Step 2: Convert to fraction form
    104,089.50/156,138.57 = 30,217.50/x
  3. Step 3: Cross multiply
    104,089.50x = 156,138.57 × 30,217.50
  4. Step 4: Simplify right side
    104,089.50x = 4,718,117,238.98
  5. Step 5: Solve for x
    x = 4,718,117,238.98/104,089.50
  6. Step 6: Final answer
    x = 45,327.50

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