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Finding the Fourth Proportional to 262,895.80, 394,343.70 and 94,496.80

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Solution

The fourth proportional to 262,895.80, 394,343.70 and 94,496.80 is: 141,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,895.80 : 394,343.70 = 94,496.80 : x
  2. Step 2: Convert to fraction form
    262,895.80/394,343.70 = 94,496.80/x
  3. Step 3: Cross multiply
    262,895.80x = 394,343.70 × 94,496.80
  4. Step 4: Simplify right side
    262,895.80x = 37,264,217,750.16
  5. Step 5: Solve for x
    x = 37,264,217,750.16/262,895.80
  6. Step 6: Final answer
    x = 141,745.20

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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.