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Finding the Fourth Proportional to 286,111.36, 394,826.16 and 158,783.68

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Solution

The fourth proportional to 286,111.36, 394,826.16 and 158,783.68 is: 219,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,111.36 : 394,826.16 = 158,783.68 : x
  2. Step 2: Convert to fraction form
    286,111.36/394,826.16 = 158,783.68/x
  3. Step 3: Cross multiply
    286,111.36x = 394,826.16 × 158,783.68
  4. Step 4: Simplify right side
    286,111.36x = 62,691,950,645.07
  5. Step 5: Solve for x
    x = 62,691,950,645.07/286,111.36
  6. Step 6: Final answer
    x = 219,117.31

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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.