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Finding the Fourth Proportional to 106,446.96, 159,768.72 and 53,893.26

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Solution

The fourth proportional to 106,446.96, 159,768.72 and 53,893.26 is: 80,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446.96 : 159,768.72 = 53,893.26 : x
  2. Step 2: Convert to fraction form
    106,446.96/159,768.72 = 53,893.26/x
  3. Step 3: Cross multiply
    106,446.96x = 159,768.72 × 53,893.26
  4. Step 4: Simplify right side
    106,446.96x = 8,610,457,166.83
  5. Step 5: Solve for x
    x = 8,610,457,166.83/106,446.96
  6. Step 6: Final answer
    x = 80,889.65

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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.