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Finding the Fourth Proportional to 133,310.97, 199,966.23 and 53,384.88

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Solution

The fourth proportional to 133,310.97, 199,966.23 and 53,384.88 is: 80,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,310.97 : 199,966.23 = 53,384.88 : x
  2. Step 2: Convert to fraction form
    133,310.97/199,966.23 = 53,384.88/x
  3. Step 3: Cross multiply
    133,310.97x = 199,966.23 × 53,384.88
  4. Step 4: Simplify right side
    133,310.97x = 10,675,173,192.60
  5. Step 5: Solve for x
    x = 10,675,173,192.60/133,310.97
  6. Step 6: Final answer
    x = 80,077.23

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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.