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Finding the Fourth Proportional to 185,786.96, 256,383.24 and 104,114

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Solution

The fourth proportional to 185,786.96, 256,383.24 and 104,114 is: 143,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,786.96 : 256,383.24 = 104,114 : x
  2. Step 2: Convert to fraction form
    185,786.96/256,383.24 = 104,114/x
  3. Step 3: Cross multiply
    185,786.96x = 256,383.24 × 104,114
  4. Step 4: Simplify right side
    185,786.96x = 26,693,084,649.36
  5. Step 5: Solve for x
    x = 26,693,084,649.36/185,786.96
  6. Step 6: Final answer
    x = 143,675.77

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