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Finding the Fourth Proportional to 133,605.36, 200,407.40 and 33,765.76

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Solution

The fourth proportional to 133,605.36, 200,407.40 and 33,765.76 is: 50,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,605.36 : 200,407.40 = 33,765.76 : x
  2. Step 2: Convert to fraction form
    133,605.36/200,407.40 = 33,765.76/x
  3. Step 3: Cross multiply
    133,605.36x = 200,407.40 × 33,765.76
  4. Step 4: Simplify right side
    133,605.36x = 6,766,908,170.62
  5. Step 5: Solve for x
    x = 6,766,908,170.62/133,605.36
  6. Step 6: Final answer
    x = 50,648.48

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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.