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Finding the Fourth Proportional to 201,938.60, 302,907.90 and 182,255.60

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Solution

The fourth proportional to 201,938.60, 302,907.90 and 182,255.60 is: 273,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.60 : 302,907.90 = 182,255.60 : x
  2. Step 2: Convert to fraction form
    201,938.60/302,907.90 = 182,255.60/x
  3. Step 3: Cross multiply
    201,938.60x = 302,907.90 × 182,255.60
  4. Step 4: Simplify right side
    201,938.60x = 55,206,661,059.24
  5. Step 5: Solve for x
    x = 55,206,661,059.24/201,938.60
  6. Step 6: Final answer
    x = 273,383.40

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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.