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Finding the Fourth Proportional to 264,005.82, 395,916.57 and 106,193.34

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Solution

The fourth proportional to 264,005.82, 395,916.57 and 106,193.34 is: 159,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,005.82 : 395,916.57 = 106,193.34 : x
  2. Step 2: Convert to fraction form
    264,005.82/395,916.57 = 106,193.34/x
  3. Step 3: Cross multiply
    264,005.82x = 395,916.57 × 106,193.34
  4. Step 4: Simplify right side
    264,005.82x = 42,043,702,929.64
  5. Step 5: Solve for x
    x = 42,043,702,929.64/264,005.82
  6. Step 6: Final answer
    x = 159,252.94

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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.