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Finding the Fourth Proportional to 311,728.50, 467,670.51 and 90,112.50

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Solution

The fourth proportional to 311,728.50, 467,670.51 and 90,112.50 is: 135,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728.50 : 467,670.51 = 90,112.50 : x
  2. Step 2: Convert to fraction form
    311,728.50/467,670.51 = 90,112.50/x
  3. Step 3: Cross multiply
    311,728.50x = 467,670.51 × 90,112.50
  4. Step 4: Simplify right side
    311,728.50x = 42,142,958,832.38
  5. Step 5: Solve for x
    x = 42,142,958,832.38/311,728.50
  6. Step 6: Final answer
    x = 135,191.23

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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.