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Finding the Fourth Proportional to 133,813, 200,797.26 and 59,941

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Solution

The fourth proportional to 133,813, 200,797.26 and 59,941 is: 89,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813 : 200,797.26 = 59,941 : x
  2. Step 2: Convert to fraction form
    133,813/200,797.26 = 59,941/x
  3. Step 3: Cross multiply
    133,813x = 200,797.26 × 59,941
  4. Step 4: Simplify right side
    133,813x = 12,035,988,561.66
  5. Step 5: Solve for x
    x = 12,035,988,561.66/133,813
  6. Step 6: Final answer
    x = 89,946.33

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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.