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Finding the Fourth Proportional to 183,500, 275,296.24 and 52,172

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Solution

The fourth proportional to 183,500, 275,296.24 and 52,172 is: 78,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,500 : 275,296.24 = 52,172 : x
  2. Step 2: Convert to fraction form
    183,500/275,296.24 = 52,172/x
  3. Step 3: Cross multiply
    183,500x = 275,296.24 × 52,172
  4. Step 4: Simplify right side
    183,500x = 14,362,755,433.28
  5. Step 5: Solve for x
    x = 14,362,755,433.28/183,500
  6. Step 6: Final answer
    x = 78,271.15

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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.