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Finding the Fourth Proportional to 133,692.75, 184,496 and 74,076.75

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Solution

The fourth proportional to 133,692.75, 184,496 and 74,076.75 is: 102,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.75 : 184,496 = 74,076.75 : x
  2. Step 2: Convert to fraction form
    133,692.75/184,496 = 74,076.75/x
  3. Step 3: Cross multiply
    133,692.75x = 184,496 × 74,076.75
  4. Step 4: Simplify right side
    133,692.75x = 13,666,864,068
  5. Step 5: Solve for x
    x = 13,666,864,068/133,692.75
  6. Step 6: Final answer
    x = 102,225.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.