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Finding the Fourth Proportional to 183,998.49, 275,834.12 and 71,652.57

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Solution

The fourth proportional to 183,998.49, 275,834.12 and 71,652.57 is: 107,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,998.49 : 275,834.12 = 71,652.57 : x
  2. Step 2: Convert to fraction form
    183,998.49/275,834.12 = 71,652.57/x
  3. Step 3: Cross multiply
    183,998.49x = 275,834.12 × 71,652.57
  4. Step 4: Simplify right side
    183,998.49x = 19,764,223,233.43
  5. Step 5: Solve for x
    x = 19,764,223,233.43/183,998.49
  6. Step 6: Final answer
    x = 107,415.14

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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.