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Finding the Fourth Proportional to 133,692.35, 200,403.50 and 83,807.41

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Solution

The fourth proportional to 133,692.35, 200,403.50 and 83,807.41 is: 125,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.35 : 200,403.50 = 83,807.41 : x
  2. Step 2: Convert to fraction form
    133,692.35/200,403.50 = 83,807.41/x
  3. Step 3: Cross multiply
    133,692.35x = 200,403.50 × 83,807.41
  4. Step 4: Simplify right side
    133,692.35x = 16,795,298,289.94
  5. Step 5: Solve for x
    x = 16,795,298,289.94/133,692.35
  6. Step 6: Final answer
    x = 125,626.47

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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.