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Finding the Fourth Proportional to 311,504.86, 467,057.67 and 131,541.54

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Solution

The fourth proportional to 311,504.86, 467,057.67 and 131,541.54 is: 197,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,504.86 : 467,057.67 = 131,541.54 : x
  2. Step 2: Convert to fraction form
    311,504.86/467,057.67 = 131,541.54/x
  3. Step 3: Cross multiply
    311,504.86x = 467,057.67 × 131,541.54
  4. Step 4: Simplify right side
    311,504.86x = 61,437,482,845.32
  5. Step 5: Solve for x
    x = 61,437,482,845.32/311,504.86
  6. Step 6: Final answer
    x = 197,228.01

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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.