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Finding the Fourth Proportional to 201,008.80, 301,743.60 and 117,949.60

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Solution

The fourth proportional to 201,008.80, 301,743.60 and 117,949.60 is: 177,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,008.80 : 301,743.60 = 117,949.60 : x
  2. Step 2: Convert to fraction form
    201,008.80/301,743.60 = 117,949.60/x
  3. Step 3: Cross multiply
    201,008.80x = 301,743.60 × 117,949.60
  4. Step 4: Simplify right side
    201,008.80x = 35,590,536,922.56
  5. Step 5: Solve for x
    x = 35,590,536,922.56/201,008.80
  6. Step 6: Final answer
    x = 177,059.60

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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.