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Finding the Fourth Proportional to 135,905.10, 203,201.55 and 100,475.70

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Solution

The fourth proportional to 135,905.10, 203,201.55 and 100,475.70 is: 150,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,905.10 : 203,201.55 = 100,475.70 : x
  2. Step 2: Convert to fraction form
    135,905.10/203,201.55 = 100,475.70/x
  3. Step 3: Cross multiply
    135,905.10x = 203,201.55 × 100,475.70
  4. Step 4: Simplify right side
    135,905.10x = 20,416,817,977.34
  5. Step 5: Solve for x
    x = 20,416,817,977.34/135,905.10
  6. Step 6: Final answer
    x = 150,228.49

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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.