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Finding the Fourth Proportional to 147,254.96, 203,214.12 and 80,186.96

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Solution

The fourth proportional to 147,254.96, 203,214.12 and 80,186.96 is: 110,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,254.96 : 203,214.12 = 80,186.96 : x
  2. Step 2: Convert to fraction form
    147,254.96/203,214.12 = 80,186.96/x
  3. Step 3: Cross multiply
    147,254.96x = 203,214.12 × 80,186.96
  4. Step 4: Simplify right side
    147,254.96x = 16,295,122,511.88
  5. Step 5: Solve for x
    x = 16,295,122,511.88/147,254.96
  6. Step 6: Final answer
    x = 110,659.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.