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Finding the Fourth Proportional to 109,303.46, 163,973.87 and 50,144.20

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Solution

The fourth proportional to 109,303.46, 163,973.87 and 50,144.20 is: 75,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,303.46 : 163,973.87 = 50,144.20 : x
  2. Step 2: Convert to fraction form
    109,303.46/163,973.87 = 50,144.20/x
  3. Step 3: Cross multiply
    109,303.46x = 163,973.87 × 50,144.20
  4. Step 4: Simplify right side
    109,303.46x = 8,222,338,059.44
  5. Step 5: Solve for x
    x = 8,222,338,059.44/109,303.46
  6. Step 6: Final answer
    x = 75,224.87

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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.