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Finding the Fourth Proportional to 109,141.43, 163,449.50 and 73,974.47

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Solution

The fourth proportional to 109,141.43, 163,449.50 and 73,974.47 is: 110,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,141.43 : 163,449.50 = 73,974.47 : x
  2. Step 2: Convert to fraction form
    109,141.43/163,449.50 = 73,974.47/x
  3. Step 3: Cross multiply
    109,141.43x = 163,449.50 × 73,974.47
  4. Step 4: Simplify right side
    109,141.43x = 12,091,088,947.15
  5. Step 5: Solve for x
    x = 12,091,088,947.15/109,141.43
  6. Step 6: Final answer
    x = 110,783.68

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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.