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Finding the Fourth Proportional to 201,865.40, 302,433.60 and 117,556.55

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Solution

The fourth proportional to 201,865.40, 302,433.60 and 117,556.55 is: 176,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.40 : 302,433.60 = 117,556.55 : x
  2. Step 2: Convert to fraction form
    201,865.40/302,433.60 = 117,556.55/x
  3. Step 3: Cross multiply
    201,865.40x = 302,433.60 × 117,556.55
  4. Step 4: Simplify right side
    201,865.40x = 35,553,050,620.08
  5. Step 5: Solve for x
    x = 35,553,050,620.08/201,865.40
  6. Step 6: Final answer
    x = 176,122.56

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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.