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Finding the Fourth Proportional to 303,098.63, 418,293.72 and 167,161.49

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Solution

The fourth proportional to 303,098.63, 418,293.72 and 167,161.49 is: 230,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,098.63 : 418,293.72 = 167,161.49 : x
  2. Step 2: Convert to fraction form
    303,098.63/418,293.72 = 167,161.49/x
  3. Step 3: Cross multiply
    303,098.63x = 418,293.72 × 167,161.49
  4. Step 4: Simplify right side
    303,098.63x = 69,922,600,969.98
  5. Step 5: Solve for x
    x = 69,922,600,969.98/303,098.63
  6. Step 6: Final answer
    x = 230,692.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.