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Finding the Fourth Proportional to 123,097.82, 184,655.76 and 44,212.70

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Solution

The fourth proportional to 123,097.82, 184,655.76 and 44,212.70 is: 66,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,097.82 : 184,655.76 = 44,212.70 : x
  2. Step 2: Convert to fraction form
    123,097.82/184,655.76 = 44,212.70/x
  3. Step 3: Cross multiply
    123,097.82x = 184,655.76 × 44,212.70
  4. Step 4: Simplify right side
    123,097.82x = 8,164,129,720.15
  5. Step 5: Solve for x
    x = 8,164,129,720.15/123,097.82
  6. Step 6: Final answer
    x = 66,322.29

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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.