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Finding the Fourth Proportional to 133,832, 200,825.76 and 59,960

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Solution

The fourth proportional to 133,832, 200,825.76 and 59,960 is: 89,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,832 : 200,825.76 = 59,960 : x
  2. Step 2: Convert to fraction form
    133,832/200,825.76 = 59,960/x
  3. Step 3: Cross multiply
    133,832x = 200,825.76 × 59,960
  4. Step 4: Simplify right side
    133,832x = 12,041,512,569.60
  5. Step 5: Solve for x
    x = 12,041,512,569.60/133,832
  6. Step 6: Final answer
    x = 89,974.84

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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.