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Finding the Fourth Proportional to 109,086.49, 163,629.96 and 30,200.95

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Solution

The fourth proportional to 109,086.49, 163,629.96 and 30,200.95 is: 45,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,086.49 : 163,629.96 = 30,200.95 : x
  2. Step 2: Convert to fraction form
    109,086.49/163,629.96 = 30,200.95/x
  3. Step 3: Cross multiply
    109,086.49x = 163,629.96 × 30,200.95
  4. Step 4: Simplify right side
    109,086.49x = 4,941,780,240.46
  5. Step 5: Solve for x
    x = 4,941,780,240.46/109,086.49
  6. Step 6: Final answer
    x = 45,301.49

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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.