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Finding the Fourth Proportional to 200,896.45, 301,344.69 and 156,556.39

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Solution

The fourth proportional to 200,896.45, 301,344.69 and 156,556.39 is: 234,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,896.45 : 301,344.69 = 156,556.39 : x
  2. Step 2: Convert to fraction form
    200,896.45/301,344.69 = 156,556.39/x
  3. Step 3: Cross multiply
    200,896.45x = 301,344.69 × 156,556.39
  4. Step 4: Simplify right side
    200,896.45x = 47,177,436,812.07
  5. Step 5: Solve for x
    x = 47,177,436,812.07/200,896.45
  6. Step 6: Final answer
    x = 234,834.60

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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.