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Finding the Fourth Proportional to 286,164.98, 394,912.32 and 157,115.36

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Solution

The fourth proportional to 286,164.98, 394,912.32 and 157,115.36 is: 216,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164.98 : 394,912.32 = 157,115.36 : x
  2. Step 2: Convert to fraction form
    286,164.98/394,912.32 = 157,115.36/x
  3. Step 3: Cross multiply
    286,164.98x = 394,912.32 × 157,115.36
  4. Step 4: Simplify right side
    286,164.98x = 62,046,791,325.24
  5. Step 5: Solve for x
    x = 62,046,791,325.24/286,164.98
  6. Step 6: Final answer
    x = 216,821.75

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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.