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Finding the Fourth Proportional to 264,006.82, 395,918.07 and 106,194.34

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Solution

The fourth proportional to 264,006.82, 395,918.07 and 106,194.34 is: 159,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,006.82 : 395,918.07 = 106,194.34 : x
  2. Step 2: Convert to fraction form
    264,006.82/395,918.07 = 106,194.34/x
  3. Step 3: Cross multiply
    264,006.82x = 395,918.07 × 106,194.34
  4. Step 4: Simplify right side
    264,006.82x = 42,044,258,137.72
  5. Step 5: Solve for x
    x = 42,044,258,137.72/264,006.82
  6. Step 6: Final answer
    x = 159,254.44

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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.