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Finding the Fourth Proportional to 133,759, 200,655.24 and 49,504.96

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Solution

The fourth proportional to 133,759, 200,655.24 and 49,504.96 is: 74,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,759 : 200,655.24 = 49,504.96 : x
  2. Step 2: Convert to fraction form
    133,759/200,655.24 = 49,504.96/x
  3. Step 3: Cross multiply
    133,759x = 200,655.24 × 49,504.96
  4. Step 4: Simplify right side
    133,759x = 9,933,429,629.99
  5. Step 5: Solve for x
    x = 9,933,429,629.99/133,759
  6. Step 6: Final answer
    x = 74,263.64

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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.