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Finding the Fourth Proportional to 150,105.90, 225,186.14 and 71,219.40

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Solution

The fourth proportional to 150,105.90, 225,186.14 and 71,219.40 is: 106,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,105.90 : 225,186.14 = 71,219.40 : x
  2. Step 2: Convert to fraction form
    150,105.90/225,186.14 = 71,219.40/x
  3. Step 3: Cross multiply
    150,105.90x = 225,186.14 × 71,219.40
  4. Step 4: Simplify right side
    150,105.90x = 16,037,621,779.12
  5. Step 5: Solve for x
    x = 16,037,621,779.12/150,105.90
  6. Step 6: Final answer
    x = 106,842.05

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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.