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Finding the Fourth Proportional to 147,859.14, 204,045.58 and 80,791.14

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Solution

The fourth proportional to 147,859.14, 204,045.58 and 80,791.14 is: 111,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,859.14 : 204,045.58 = 80,791.14 : x
  2. Step 2: Convert to fraction form
    147,859.14/204,045.58 = 80,791.14/x
  3. Step 3: Cross multiply
    147,859.14x = 204,045.58 × 80,791.14
  4. Step 4: Simplify right side
    147,859.14x = 16,485,075,020.16
  5. Step 5: Solve for x
    x = 16,485,075,020.16/147,859.14
  6. Step 6: Final answer
    x = 111,491.76

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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.