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Finding the Fourth Proportional to 133,918.56, 184,824 and 77,329.84

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Solution

The fourth proportional to 133,918.56, 184,824 and 77,329.84 is: 106,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,918.56 : 184,824 = 77,329.84 : x
  2. Step 2: Convert to fraction form
    133,918.56/184,824 = 77,329.84/x
  3. Step 3: Cross multiply
    133,918.56x = 184,824 × 77,329.84
  4. Step 4: Simplify right side
    133,918.56x = 14,292,410,348.16
  5. Step 5: Solve for x
    x = 14,292,410,348.16/133,918.56
  6. Step 6: Final answer
    x = 106,724.64

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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.