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Finding the Fourth Proportional to 303,075.82, 418,234.26 and 167,107.60

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Solution

The fourth proportional to 303,075.82, 418,234.26 and 167,107.60 is: 230,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,075.82 : 418,234.26 = 167,107.60 : x
  2. Step 2: Convert to fraction form
    303,075.82/418,234.26 = 167,107.60/x
  3. Step 3: Cross multiply
    303,075.82x = 418,234.26 × 167,107.60
  4. Step 4: Simplify right side
    303,075.82x = 69,890,123,426.38
  5. Step 5: Solve for x
    x = 69,890,123,426.38/303,075.82
  6. Step 6: Final answer
    x = 230,602.77

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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.