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Finding the Fourth Proportional to 104,097, 156,149.82 and 30,225

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Solution

The fourth proportional to 104,097, 156,149.82 and 30,225 is: 45,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097 : 156,149.82 = 30,225 : x
  2. Step 2: Convert to fraction form
    104,097/156,149.82 = 30,225/x
  3. Step 3: Cross multiply
    104,097x = 156,149.82 × 30,225
  4. Step 4: Simplify right side
    104,097x = 4,719,628,309.50
  5. Step 5: Solve for x
    x = 4,719,628,309.50/104,097
  6. Step 6: Final answer
    x = 45,338.75

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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.