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Finding the Fourth Proportional to 119,163.83, 178,745.64 and 30,417.35

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Solution

The fourth proportional to 119,163.83, 178,745.64 and 30,417.35 is: 45,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.83 : 178,745.64 = 30,417.35 : x
  2. Step 2: Convert to fraction form
    119,163.83/178,745.64 = 30,417.35/x
  3. Step 3: Cross multiply
    119,163.83x = 178,745.64 × 30,417.35
  4. Step 4: Simplify right side
    119,163.83x = 5,436,968,692.85
  5. Step 5: Solve for x
    x = 5,436,968,692.85/119,163.83
  6. Step 6: Final answer
    x = 45,626.00

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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.