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Finding the Fourth Proportional to 106,994.72, 160,440.24 and 53,663.78

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Solution

The fourth proportional to 106,994.72, 160,440.24 and 53,663.78 is: 80,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,994.72 : 160,440.24 = 53,663.78 : x
  2. Step 2: Convert to fraction form
    106,994.72/160,440.24 = 53,663.78/x
  3. Step 3: Cross multiply
    106,994.72x = 160,440.24 × 53,663.78
  4. Step 4: Simplify right side
    106,994.72x = 8,609,829,742.51
  5. Step 5: Solve for x
    x = 8,609,829,742.51/106,994.72
  6. Step 6: Final answer
    x = 80,469.67

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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.