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Finding the Fourth Proportional to 213,136.44, 294,135.41 and 116,346.03

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Solution

The fourth proportional to 213,136.44, 294,135.41 and 116,346.03 is: 160,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,136.44 : 294,135.41 = 116,346.03 : x
  2. Step 2: Convert to fraction form
    213,136.44/294,135.41 = 116,346.03/x
  3. Step 3: Cross multiply
    213,136.44x = 294,135.41 × 116,346.03
  4. Step 4: Simplify right side
    213,136.44x = 34,221,486,654.19
  5. Step 5: Solve for x
    x = 34,221,486,654.19/213,136.44
  6. Step 6: Final answer
    x = 160,561.41

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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.