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Finding the Fourth Proportional to 133,611.72, 184,414.50 and 83,301

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Solution

The fourth proportional to 133,611.72, 184,414.50 and 83,301 is: 114,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,611.72 : 184,414.50 = 83,301 : x
  2. Step 2: Convert to fraction form
    133,611.72/184,414.50 = 83,301/x
  3. Step 3: Cross multiply
    133,611.72x = 184,414.50 × 83,301
  4. Step 4: Simplify right side
    133,611.72x = 15,361,912,264.50
  5. Step 5: Solve for x
    x = 15,361,912,264.50/133,611.72
  6. Step 6: Final answer
    x = 114,974.29

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