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Finding the Fourth Proportional to 193,255.80, 289,748.70 and 114,329.40

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Solution

The fourth proportional to 193,255.80, 289,748.70 and 114,329.40 is: 171,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,255.80 : 289,748.70 = 114,329.40 : x
  2. Step 2: Convert to fraction form
    193,255.80/289,748.70 = 114,329.40/x
  3. Step 3: Cross multiply
    193,255.80x = 289,748.70 × 114,329.40
  4. Step 4: Simplify right side
    193,255.80x = 33,126,795,021.78
  5. Step 5: Solve for x
    x = 33,126,795,021.78/193,255.80
  6. Step 6: Final answer
    x = 171,414.23

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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.