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Finding the Fourth Proportional to 213,142.27, 294,136.35 and 117,648.99

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Solution

The fourth proportional to 213,142.27, 294,136.35 and 117,648.99 is: 162,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,142.27 : 294,136.35 = 117,648.99 : x
  2. Step 2: Convert to fraction form
    213,142.27/294,136.35 = 117,648.99/x
  3. Step 3: Cross multiply
    213,142.27x = 294,136.35 × 117,648.99
  4. Step 4: Simplify right side
    213,142.27x = 34,604,844,499.79
  5. Step 5: Solve for x
    x = 34,604,844,499.79/213,142.27
  6. Step 6: Final answer
    x = 162,355.62

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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.