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Finding the Fourth Proportional to 312,092.46, 468,191.19 and 98,919.80

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Solution

The fourth proportional to 312,092.46, 468,191.19 and 98,919.80 is: 148,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,092.46 : 468,191.19 = 98,919.80 : x
  2. Step 2: Convert to fraction form
    312,092.46/468,191.19 = 98,919.80/x
  3. Step 3: Cross multiply
    312,092.46x = 468,191.19 × 98,919.80
  4. Step 4: Simplify right side
    312,092.46x = 46,313,376,535.61
  5. Step 5: Solve for x
    x = 46,313,376,535.61/312,092.46
  6. Step 6: Final answer
    x = 148,396.33

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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.