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Finding the Fourth Proportional to 201,204.10, 301,806.15 and 130,345.30

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Solution

The fourth proportional to 201,204.10, 301,806.15 and 130,345.30 is: 195,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.10 : 301,806.15 = 130,345.30 : x
  2. Step 2: Convert to fraction form
    201,204.10/301,806.15 = 130,345.30/x
  3. Step 3: Cross multiply
    201,204.10x = 301,806.15 × 130,345.30
  4. Step 4: Simplify right side
    201,204.10x = 39,339,013,163.60
  5. Step 5: Solve for x
    x = 39,339,013,163.60/201,204.10
  6. Step 6: Final answer
    x = 195,517.95

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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.