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Finding the Fourth Proportional to 133,705.77, 200,532.74 and 50,606.25

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Solution

The fourth proportional to 133,705.77, 200,532.74 and 50,606.25 is: 75,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,705.77 : 200,532.74 = 50,606.25 : x
  2. Step 2: Convert to fraction form
    133,705.77/200,532.74 = 50,606.25/x
  3. Step 3: Cross multiply
    133,705.77x = 200,532.74 × 50,606.25
  4. Step 4: Simplify right side
    133,705.77x = 10,148,209,720.59
  5. Step 5: Solve for x
    x = 10,148,209,720.59/133,705.77
  6. Step 6: Final answer
    x = 75,899.56

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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.