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Finding the Fourth Proportional to 133,469,107.70, 200,203,661.55 and 104,803,661.30

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Solution

The fourth proportional to 133,469,107.70, 200,203,661.55 and 104,803,661.30 is: 157,205,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,469,107.70 : 200,203,661.55 = 104,803,661.30 : x
  2. Step 2: Convert to fraction form
    133,469,107.70/200,203,661.55 = 104,803,661.30/x
  3. Step 3: Cross multiply
    133,469,107.70x = 200,203,661.55 × 104,803,661.30
  4. Step 4: Simplify right side
    133,469,107.70x = 20,982,076,736,106,032
  5. Step 5: Solve for x
    x = 20,982,076,736,106,032/133,469,107.70
  6. Step 6: Final answer
    x = 157,205,491.95

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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.