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Finding the Fourth Proportional to 200,474.37, 300,675.22 and 80,526.49

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Solution

The fourth proportional to 200,474.37, 300,675.22 and 80,526.49 is: 120,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,474.37 : 300,675.22 = 80,526.49 : x
  2. Step 2: Convert to fraction form
    200,474.37/300,675.22 = 80,526.49/x
  3. Step 3: Cross multiply
    200,474.37x = 300,675.22 × 80,526.49
  4. Step 4: Simplify right side
    200,474.37x = 24,212,319,143.57
  5. Step 5: Solve for x
    x = 24,212,319,143.57/200,474.37
  6. Step 6: Final answer
    x = 120,775.14

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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.