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Finding the Fourth Proportional to 125,984.50, 188,976.75 and 52,112.50

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Solution

The fourth proportional to 125,984.50, 188,976.75 and 52,112.50 is: 78,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,984.50 : 188,976.75 = 52,112.50 : x
  2. Step 2: Convert to fraction form
    125,984.50/188,976.75 = 52,112.50/x
  3. Step 3: Cross multiply
    125,984.50x = 188,976.75 × 52,112.50
  4. Step 4: Simplify right side
    125,984.50x = 9,848,050,884.38
  5. Step 5: Solve for x
    x = 9,848,050,884.38/125,984.50
  6. Step 6: Final answer
    x = 78,168.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.