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Finding the Fourth Proportional to 183,534.94, 275,299.17 and 50,414.68

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Solution

The fourth proportional to 183,534.94, 275,299.17 and 50,414.68 is: 75,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,534.94 : 275,299.17 = 50,414.68 : x
  2. Step 2: Convert to fraction form
    183,534.94/275,299.17 = 50,414.68/x
  3. Step 3: Cross multiply
    183,534.94x = 275,299.17 × 50,414.68
  4. Step 4: Simplify right side
    183,534.94x = 13,879,119,559.82
  5. Step 5: Solve for x
    x = 13,879,119,559.82/183,534.94
  6. Step 6: Final answer
    x = 75,621.13

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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.