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Finding the Fourth Proportional to 109,196.99, 163,796.40 and 30,317.37

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Solution

The fourth proportional to 109,196.99, 163,796.40 and 30,317.37 is: 45,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,196.99 : 163,796.40 = 30,317.37 : x
  2. Step 2: Convert to fraction form
    109,196.99/163,796.40 = 30,317.37/x
  3. Step 3: Cross multiply
    109,196.99x = 163,796.40 × 30,317.37
  4. Step 4: Simplify right side
    109,196.99x = 4,965,875,449.23
  5. Step 5: Solve for x
    x = 4,965,875,449.23/109,196.99
  6. Step 6: Final answer
    x = 45,476.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.