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Finding the Fourth Proportional to 311,874.90, 467,812.35 and 112,201.80

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Solution

The fourth proportional to 311,874.90, 467,812.35 and 112,201.80 is: 168,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.90 : 467,812.35 = 112,201.80 : x
  2. Step 2: Convert to fraction form
    311,874.90/467,812.35 = 112,201.80/x
  3. Step 3: Cross multiply
    311,874.90x = 467,812.35 × 112,201.80
  4. Step 4: Simplify right side
    311,874.90x = 52,489,387,732.23
  5. Step 5: Solve for x
    x = 52,489,387,732.23/311,874.90
  6. Step 6: Final answer
    x = 168,302.70

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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.