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Finding the Fourth Proportional to 202,744.61, 303,918.30 and 112,830.21

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Solution

The fourth proportional to 202,744.61, 303,918.30 and 112,830.21 is: 169,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,744.61 : 303,918.30 = 112,830.21 : x
  2. Step 2: Convert to fraction form
    202,744.61/303,918.30 = 112,830.21/x
  3. Step 3: Cross multiply
    202,744.61x = 303,918.30 × 112,830.21
  4. Step 4: Simplify right side
    202,744.61x = 34,291,165,611.84
  5. Step 5: Solve for x
    x = 34,291,165,611.84/202,744.61
  6. Step 6: Final answer
    x = 169,134.78

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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.