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Finding the Fourth Proportional to 303,969.75, 455,954.64 and 82,353.75

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Solution

The fourth proportional to 303,969.75, 455,954.64 and 82,353.75 is: 123,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,969.75 : 455,954.64 = 82,353.75 : x
  2. Step 2: Convert to fraction form
    303,969.75/455,954.64 = 82,353.75/x
  3. Step 3: Cross multiply
    303,969.75x = 455,954.64 × 82,353.75
  4. Step 4: Simplify right side
    303,969.75x = 37,549,574,433.90
  5. Step 5: Solve for x
    x = 37,549,574,433.90/303,969.75
  6. Step 6: Final answer
    x = 123,530.63

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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.