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Finding the Fourth Proportional to 193,035.80, 289,418.70 and 114,109.40

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Solution

The fourth proportional to 193,035.80, 289,418.70 and 114,109.40 is: 171,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,035.80 : 289,418.70 = 114,109.40 : x
  2. Step 2: Convert to fraction form
    193,035.80/289,418.70 = 114,109.40/x
  3. Step 3: Cross multiply
    193,035.80x = 289,418.70 × 114,109.40
  4. Step 4: Simplify right side
    193,035.80x = 33,025,394,205.78
  5. Step 5: Solve for x
    x = 33,025,394,205.78/193,035.80
  6. Step 6: Final answer
    x = 171,084.30

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1.5x scale

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.