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Finding the Fourth Proportional to 212,847.89, 319,056.23 and 138,015.50

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Solution

The fourth proportional to 212,847.89, 319,056.23 and 138,015.50 is: 206,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847.89 : 319,056.23 = 138,015.50 : x
  2. Step 2: Convert to fraction form
    212,847.89/319,056.23 = 138,015.50/x
  3. Step 3: Cross multiply
    212,847.89x = 319,056.23 × 138,015.50
  4. Step 4: Simplify right side
    212,847.89x = 44,034,703,861.32
  5. Step 5: Solve for x
    x = 44,034,703,861.32/212,847.89
  6. Step 6: Final answer
    x = 206,883.45

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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.