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Finding the Fourth Proportional to 286,114.14, 394,844.22 and 158,787

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Solution

The fourth proportional to 286,114.14, 394,844.22 and 158,787 is: 219,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,114.14 : 394,844.22 = 158,787 : x
  2. Step 2: Convert to fraction form
    286,114.14/394,844.22 = 158,787/x
  3. Step 3: Cross multiply
    286,114.14x = 394,844.22 × 158,787
  4. Step 4: Simplify right side
    286,114.14x = 62,696,129,161.14
  5. Step 5: Solve for x
    x = 62,696,129,161.14/286,114.14
  6. Step 6: Final answer
    x = 219,129.78

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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.