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Finding the Fourth Proportional to 213,142.28, 294,136.36 and 117,649

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Solution

The fourth proportional to 213,142.28, 294,136.36 and 117,649 is: 162,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,142.28 : 294,136.36 = 117,649 : x
  2. Step 2: Convert to fraction form
    213,142.28/294,136.36 = 117,649/x
  3. Step 3: Cross multiply
    213,142.28x = 294,136.36 × 117,649
  4. Step 4: Simplify right side
    213,142.28x = 34,604,848,617.64
  5. Step 5: Solve for x
    x = 34,604,848,617.64/213,142.28
  6. Step 6: Final answer
    x = 162,355.63

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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.