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Finding the Fourth Proportional to 133,476.82, 184,237.41 and 76,928.02

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Solution

The fourth proportional to 133,476.82, 184,237.41 and 76,928.02 is: 106,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,476.82 : 184,237.41 = 76,928.02 : x
  2. Step 2: Convert to fraction form
    133,476.82/184,237.41 = 76,928.02/x
  3. Step 3: Cross multiply
    133,476.82x = 184,237.41 × 76,928.02
  4. Step 4: Simplify right side
    133,476.82x = 14,173,019,161.23
  5. Step 5: Solve for x
    x = 14,173,019,161.23/133,476.82
  6. Step 6: Final answer
    x = 106,183.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.