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Finding the Fourth Proportional to 92,084.14, 138,173.39 and 54,188.49

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Solution

The fourth proportional to 92,084.14, 138,173.39 and 54,188.49 is: 81,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,084.14 : 138,173.39 = 54,188.49 : x
  2. Step 2: Convert to fraction form
    92,084.14/138,173.39 = 54,188.49/x
  3. Step 3: Cross multiply
    92,084.14x = 138,173.39 × 54,188.49
  4. Step 4: Simplify right side
    92,084.14x = 7,487,407,362.28
  5. Step 5: Solve for x
    x = 7,487,407,362.28/92,084.14
  6. Step 6: Final answer
    x = 81,310.50

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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.