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Finding the Fourth Proportional to 193,729.60, 290,824.80 and 109,556.80

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Solution

The fourth proportional to 193,729.60, 290,824.80 and 109,556.80 is: 164,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,729.60 : 290,824.80 = 109,556.80 : x
  2. Step 2: Convert to fraction form
    193,729.60/290,824.80 = 109,556.80/x
  3. Step 3: Cross multiply
    193,729.60x = 290,824.80 × 109,556.80
  4. Step 4: Simplify right side
    193,729.60x = 31,861,834,448.64
  5. Step 5: Solve for x
    x = 31,861,834,448.64/193,729.60
  6. Step 6: Final answer
    x = 164,465.49

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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.