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Finding the Fourth Proportional to 193,161.40, 289,742.10 and 134,112.40

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Solution

The fourth proportional to 193,161.40, 289,742.10 and 134,112.40 is: 201,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,161.40 : 289,742.10 = 134,112.40 : x
  2. Step 2: Convert to fraction form
    193,161.40/289,742.10 = 134,112.40/x
  3. Step 3: Cross multiply
    193,161.40x = 289,742.10 × 134,112.40
  4. Step 4: Simplify right side
    193,161.40x = 38,858,008,412.04
  5. Step 5: Solve for x
    x = 38,858,008,412.04/193,161.40
  6. Step 6: Final answer
    x = 201,168.60

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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.