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Finding the Fourth Proportional to 201,152.30, 301,958.85 and 118,093.10

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Solution

The fourth proportional to 201,152.30, 301,958.85 and 118,093.10 is: 177,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152.30 : 301,958.85 = 118,093.10 : x
  2. Step 2: Convert to fraction form
    201,152.30/301,958.85 = 118,093.10/x
  3. Step 3: Cross multiply
    201,152.30x = 301,958.85 × 118,093.10
  4. Step 4: Simplify right side
    201,152.30x = 35,659,256,668.94
  5. Step 5: Solve for x
    x = 35,659,256,668.94/201,152.30
  6. Step 6: Final answer
    x = 177,274.91

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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.