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Finding the Fourth Proportional to 133,761.82, 200,663.49 and 45,008.41

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Solution

The fourth proportional to 133,761.82, 200,663.49 and 45,008.41 is: 67,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,761.82 : 200,663.49 = 45,008.41 : x
  2. Step 2: Convert to fraction form
    133,761.82/200,663.49 = 45,008.41/x
  3. Step 3: Cross multiply
    133,761.82x = 200,663.49 × 45,008.41
  4. Step 4: Simplify right side
    133,761.82x = 9,031,544,673.32
  5. Step 5: Solve for x
    x = 9,031,544,673.32/133,761.82
  6. Step 6: Final answer
    x = 67,519.60

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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.