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Finding the Fourth Proportional to 133,813.26, 184,662.10 and 77,224.64

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Solution

The fourth proportional to 133,813.26, 184,662.10 and 77,224.64 is: 106,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813.26 : 184,662.10 = 77,224.64 : x
  2. Step 2: Convert to fraction form
    133,813.26/184,662.10 = 77,224.64/x
  3. Step 3: Cross multiply
    133,813.26x = 184,662.10 × 77,224.64
  4. Step 4: Simplify right side
    133,813.26x = 14,260,464,194.14
  5. Step 5: Solve for x
    x = 14,260,464,194.14/133,813.26
  6. Step 6: Final answer
    x = 106,569.89

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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.