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Finding the Fourth Proportional to 134,057.82, 184,979.22 and 77,458.26

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Solution

The fourth proportional to 134,057.82, 184,979.22 and 77,458.26 is: 106,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,057.82 : 184,979.22 = 77,458.26 : x
  2. Step 2: Convert to fraction form
    134,057.82/184,979.22 = 77,458.26/x
  3. Step 3: Cross multiply
    134,057.82x = 184,979.22 × 77,458.26
  4. Step 4: Simplify right side
    134,057.82x = 14,328,168,517.36
  5. Step 5: Solve for x
    x = 14,328,168,517.36/134,057.82
  6. Step 6: Final answer
    x = 106,880.51

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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.