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Finding the Fourth Proportional to 354,846.52, 532,114.26 and 133,075

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Solution

The fourth proportional to 354,846.52, 532,114.26 and 133,075 is: 199,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,846.52 : 532,114.26 = 133,075 : x
  2. Step 2: Convert to fraction form
    354,846.52/532,114.26 = 133,075/x
  3. Step 3: Cross multiply
    354,846.52x = 532,114.26 × 133,075
  4. Step 4: Simplify right side
    354,846.52x = 70,811,105,149.50
  5. Step 5: Solve for x
    x = 70,811,105,149.50/354,846.52
  6. Step 6: Final answer
    x = 199,554.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.