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Finding the Fourth Proportional to 106,195.81, 159,293.78 and 72,814.67

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Solution

The fourth proportional to 106,195.81, 159,293.78 and 72,814.67 is: 109,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.81 : 159,293.78 = 72,814.67 : x
  2. Step 2: Convert to fraction form
    106,195.81/159,293.78 = 72,814.67/x
  3. Step 3: Cross multiply
    106,195.81x = 159,293.78 × 72,814.67
  4. Step 4: Simplify right side
    106,195.81x = 11,598,923,712.03
  5. Step 5: Solve for x
    x = 11,598,923,712.03/106,195.81
  6. Step 6: Final answer
    x = 109,222.05

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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.