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Finding the Fourth Proportional to 133,021.40, 199,532.10 and 130,834.40

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Solution

The fourth proportional to 133,021.40, 199,532.10 and 130,834.40 is: 196,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.40 : 199,532.10 = 130,834.40 : x
  2. Step 2: Convert to fraction form
    133,021.40/199,532.10 = 130,834.40/x
  3. Step 3: Cross multiply
    133,021.40x = 199,532.10 × 130,834.40
  4. Step 4: Simplify right side
    133,021.40x = 26,105,662,584.24
  5. Step 5: Solve for x
    x = 26,105,662,584.24/133,021.40
  6. Step 6: Final answer
    x = 196,251.60

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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.