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Finding the Fourth Proportional to 286,165.11, 394,912.49 and 157,115.49

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Solution

The fourth proportional to 286,165.11, 394,912.49 and 157,115.49 is: 216,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,165.11 : 394,912.49 = 157,115.49 : x
  2. Step 2: Convert to fraction form
    286,165.11/394,912.49 = 157,115.49/x
  3. Step 3: Cross multiply
    286,165.11x = 394,912.49 × 157,115.49
  4. Step 4: Simplify right side
    286,165.11x = 62,046,869,373.47
  5. Step 5: Solve for x
    x = 62,046,869,373.47/286,165.11
  6. Step 6: Final answer
    x = 216,821.92

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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.