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Finding the Fourth Proportional to 129,075.73, 178,052.79 and 119,942.38

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Solution

The fourth proportional to 129,075.73, 178,052.79 and 119,942.38 is: 165,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,075.73 : 178,052.79 = 119,942.38 : x
  2. Step 2: Convert to fraction form
    129,075.73/178,052.79 = 119,942.38/x
  3. Step 3: Cross multiply
    129,075.73x = 178,052.79 × 119,942.38
  4. Step 4: Simplify right side
    129,075.73x = 21,356,075,398.24
  5. Step 5: Solve for x
    x = 21,356,075,398.24/129,075.73
  6. Step 6: Final answer
    x = 165,453.84

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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.