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Finding the Fourth Proportional to 123,173.88, 184,400.96 and 111,354.96

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Solution

The fourth proportional to 123,173.88, 184,400.96 and 111,354.96 is: 166,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,173.88 : 184,400.96 = 111,354.96 : x
  2. Step 2: Convert to fraction form
    123,173.88/184,400.96 = 111,354.96/x
  3. Step 3: Cross multiply
    123,173.88x = 184,400.96 × 111,354.96
  4. Step 4: Simplify right side
    123,173.88x = 20,533,960,967.99
  5. Step 5: Solve for x
    x = 20,533,960,967.99/123,173.88
  6. Step 6: Final answer
    x = 166,707.11

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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.