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Finding the Fourth Proportional to 133,935.96, 200,969.50 and 53,970.60

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Solution

The fourth proportional to 133,935.96, 200,969.50 and 53,970.60 is: 80,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,935.96 : 200,969.50 = 53,970.60 : x
  2. Step 2: Convert to fraction form
    133,935.96/200,969.50 = 53,970.60/x
  3. Step 3: Cross multiply
    133,935.96x = 200,969.50 × 53,970.60
  4. Step 4: Simplify right side
    133,935.96x = 10,846,444,496.70
  5. Step 5: Solve for x
    x = 10,846,444,496.70/133,935.96
  6. Step 6: Final answer
    x = 80,982.32

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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.