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Finding the Fourth Proportional to 133,773.39, 184,626 and 82,802.34

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Solution

The fourth proportional to 133,773.39, 184,626 and 82,802.34 is: 114,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,773.39 : 184,626 = 82,802.34 : x
  2. Step 2: Convert to fraction form
    133,773.39/184,626 = 82,802.34/x
  3. Step 3: Cross multiply
    133,773.39x = 184,626 × 82,802.34
  4. Step 4: Simplify right side
    133,773.39x = 15,287,464,824.84
  5. Step 5: Solve for x
    x = 15,287,464,824.84/133,773.39
  6. Step 6: Final answer
    x = 114,278.82

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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.