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Finding the Fourth Proportional to 120,053.69, 165,676.03 and 66,338.70

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Solution

The fourth proportional to 120,053.69, 165,676.03 and 66,338.70 is: 91,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,053.69 : 165,676.03 = 66,338.70 : x
  2. Step 2: Convert to fraction form
    120,053.69/165,676.03 = 66,338.70/x
  3. Step 3: Cross multiply
    120,053.69x = 165,676.03 × 66,338.70
  4. Step 4: Simplify right side
    120,053.69x = 10,990,732,037.38
  5. Step 5: Solve for x
    x = 10,990,732,037.38/120,053.69
  6. Step 6: Final answer
    x = 91,548.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.