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Finding the Fourth Proportional to 123,172.19, 184,748.64 and 75,793.67

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Solution

The fourth proportional to 123,172.19, 184,748.64 and 75,793.67 is: 113,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,172.19 : 184,748.64 = 75,793.67 : x
  2. Step 2: Convert to fraction form
    123,172.19/184,748.64 = 75,793.67/x
  3. Step 3: Cross multiply
    123,172.19x = 184,748.64 × 75,793.67
  4. Step 4: Simplify right side
    123,172.19x = 14,002,777,453.11
  5. Step 5: Solve for x
    x = 14,002,777,453.11/123,172.19
  6. Step 6: Final answer
    x = 113,684.57

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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.