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Finding the Fourth Proportional to 133,310.57, 199,966.06 and 53,384.53

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Solution

The fourth proportional to 133,310.57, 199,966.06 and 53,384.53 is: 80,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,310.57 : 199,966.06 = 53,384.53 : x
  2. Step 2: Convert to fraction form
    133,310.57/199,966.06 = 53,384.53/x
  3. Step 3: Cross multiply
    133,310.57x = 199,966.06 × 53,384.53
  4. Step 4: Simplify right side
    133,310.57x = 10,675,094,129.05
  5. Step 5: Solve for x
    x = 10,675,094,129.05/133,310.57
  6. Step 6: Final answer
    x = 80,076.88

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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.