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Finding the Fourth Proportional to 135,511, 203,228.12 and 85,516.20

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Solution

The fourth proportional to 135,511, 203,228.12 and 85,516.20 is: 128,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,511 : 203,228.12 = 85,516.20 : x
  2. Step 2: Convert to fraction form
    135,511/203,228.12 = 85,516.20/x
  3. Step 3: Cross multiply
    135,511x = 203,228.12 × 85,516.20
  4. Step 4: Simplify right side
    135,511x = 17,379,296,555.54
  5. Step 5: Solve for x
    x = 17,379,296,555.54/135,511
  6. Step 6: Final answer
    x = 128,250.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.