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Finding the Fourth Proportional to 140,069.60, 210,072.36 and 40,229

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Solution

The fourth proportional to 140,069.60, 210,072.36 and 40,229 is: 60,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,069.60 : 210,072.36 = 40,229 : x
  2. Step 2: Convert to fraction form
    140,069.60/210,072.36 = 40,229/x
  3. Step 3: Cross multiply
    140,069.60x = 210,072.36 × 40,229
  4. Step 4: Simplify right side
    140,069.60x = 8,451,000,970.44
  5. Step 5: Solve for x
    x = 8,451,000,970.44/140,069.60
  6. Step 6: Final answer
    x = 60,334.30

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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.