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Finding the Fourth Proportional to 133,642.33, 200,464.22 and 40,147.45

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Solution

The fourth proportional to 133,642.33, 200,464.22 and 40,147.45 is: 60,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,642.33 : 200,464.22 = 40,147.45 : x
  2. Step 2: Convert to fraction form
    133,642.33/200,464.22 = 40,147.45/x
  3. Step 3: Cross multiply
    133,642.33x = 200,464.22 × 40,147.45
  4. Step 4: Simplify right side
    133,642.33x = 8,048,127,048.50
  5. Step 5: Solve for x
    x = 8,048,127,048.50/133,642.33
  6. Step 6: Final answer
    x = 60,221.39

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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.