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Finding the Fourth Proportional to 123,069.41, 184,608.16 and 34,315.41

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Solution

The fourth proportional to 123,069.41, 184,608.16 and 34,315.41 is: 51,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,069.41 : 184,608.16 = 34,315.41 : x
  2. Step 2: Convert to fraction form
    123,069.41/184,608.16 = 34,315.41/x
  3. Step 3: Cross multiply
    123,069.41x = 184,608.16 × 34,315.41
  4. Step 4: Simplify right side
    123,069.41x = 6,334,904,699.75
  5. Step 5: Solve for x
    x = 6,334,904,699.75/123,069.41
  6. Step 6: Final answer
    x = 51,474.24

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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.