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Finding the Fourth Proportional to 106,450.34, 159,494.74 and 64,241.73

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Solution

The fourth proportional to 106,450.34, 159,494.74 and 64,241.73 is: 96,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,450.34 : 159,494.74 = 64,241.73 : x
  2. Step 2: Convert to fraction form
    106,450.34/159,494.74 = 64,241.73/x
  3. Step 3: Cross multiply
    106,450.34x = 159,494.74 × 64,241.73
  4. Step 4: Simplify right side
    106,450.34x = 10,246,218,023.50
  5. Step 5: Solve for x
    x = 10,246,218,023.50/106,450.34
  6. Step 6: Final answer
    x = 96,253.50

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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.