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Finding the Fourth Proportional to 133,611.77, 184,387.82 and 75,463.84

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Solution

The fourth proportional to 133,611.77, 184,387.82 and 75,463.84 is: 104,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,611.77 : 184,387.82 = 75,463.84 : x
  2. Step 2: Convert to fraction form
    133,611.77/184,387.82 = 75,463.84/x
  3. Step 3: Cross multiply
    133,611.77x = 184,387.82 × 75,463.84
  4. Step 4: Simplify right side
    133,611.77x = 13,914,612,946.43
  5. Step 5: Solve for x
    x = 13,914,612,946.43/133,611.77
  6. Step 6: Final answer
    x = 104,142.12

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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.