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Finding the Fourth Proportional to 311,851.50, 467,834.94 and 98,673.06

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Solution

The fourth proportional to 311,851.50, 467,834.94 and 98,673.06 is: 148,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.50 : 467,834.94 = 98,673.06 : x
  2. Step 2: Convert to fraction form
    311,851.50/467,834.94 = 98,673.06/x
  3. Step 3: Cross multiply
    311,851.50x = 467,834.94 × 98,673.06
  4. Step 4: Simplify right side
    311,851.50x = 46,162,705,104.72
  5. Step 5: Solve for x
    x = 46,162,705,104.72/311,851.50
  6. Step 6: Final answer
    x = 148,027.84

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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.