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Finding the Fourth Proportional to 133,841.82, 200,762.82 and 40,347.54

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Solution

The fourth proportional to 133,841.82, 200,762.82 and 40,347.54 is: 60,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841.82 : 200,762.82 = 40,347.54 : x
  2. Step 2: Convert to fraction form
    133,841.82/200,762.82 = 40,347.54/x
  3. Step 3: Cross multiply
    133,841.82x = 200,762.82 × 40,347.54
  4. Step 4: Simplify right side
    133,841.82x = 8,100,285,910.46
  5. Step 5: Solve for x
    x = 8,100,285,910.46/133,841.82
  6. Step 6: Final answer
    x = 60,521.34

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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.