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Finding the Fourth Proportional to 267,075, 368,563.52 and 147,843

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Solution

The fourth proportional to 267,075, 368,563.52 and 147,843 is: 204,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,075 : 368,563.52 = 147,843 : x
  2. Step 2: Convert to fraction form
    267,075/368,563.52 = 147,843/x
  3. Step 3: Cross multiply
    267,075x = 368,563.52 × 147,843
  4. Step 4: Simplify right side
    267,075x = 54,489,536,487.36
  5. Step 5: Solve for x
    x = 54,489,536,487.36/267,075
  6. Step 6: Final answer
    x = 204,023.35

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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.