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Finding the Fourth Proportional to 311,905.90, 467,858.85 and 112,232.80

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Solution

The fourth proportional to 311,905.90, 467,858.85 and 112,232.80 is: 168,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,905.90 : 467,858.85 = 112,232.80 : x
  2. Step 2: Convert to fraction form
    311,905.90/467,858.85 = 112,232.80/x
  3. Step 3: Cross multiply
    311,905.90x = 467,858.85 × 112,232.80
  4. Step 4: Simplify right side
    311,905.90x = 52,509,108,740.28
  5. Step 5: Solve for x
    x = 52,509,108,740.28/311,905.90
  6. Step 6: Final answer
    x = 168,349.20

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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.