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Finding the Fourth Proportional to 133,166.52, 199,725.12 and 53,197.68

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Solution

The fourth proportional to 133,166.52, 199,725.12 and 53,197.68 is: 79,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,166.52 : 199,725.12 = 53,197.68 : x
  2. Step 2: Convert to fraction form
    133,166.52/199,725.12 = 53,197.68/x
  3. Step 3: Cross multiply
    133,166.52x = 199,725.12 × 53,197.68
  4. Step 4: Simplify right side
    133,166.52x = 10,624,913,021.72
  5. Step 5: Solve for x
    x = 10,624,913,021.72/133,166.52
  6. Step 6: Final answer
    x = 79,786.67

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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.