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Finding the Fourth Proportional to 106,241, 159,368.80 and 35,163.50

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Solution

The fourth proportional to 106,241, 159,368.80 and 35,163.50 is: 52,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241 : 159,368.80 = 35,163.50 : x
  2. Step 2: Convert to fraction form
    106,241/159,368.80 = 35,163.50/x
  3. Step 3: Cross multiply
    106,241x = 159,368.80 × 35,163.50
  4. Step 4: Simplify right side
    106,241x = 5,603,964,798.80
  5. Step 5: Solve for x
    x = 5,603,964,798.80/106,241
  6. Step 6: Final answer
    x = 52,747.67

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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.