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Finding the Fourth Proportional to 312,287.93, 468,144.85 and 112,559.43

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Solution

The fourth proportional to 312,287.93, 468,144.85 and 112,559.43 is: 168,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,287.93 : 468,144.85 = 112,559.43 : x
  2. Step 2: Convert to fraction form
    312,287.93/468,144.85 = 112,559.43/x
  3. Step 3: Cross multiply
    312,287.93x = 468,144.85 × 112,559.43
  4. Step 4: Simplify right side
    312,287.93x = 52,694,117,473.44
  5. Step 5: Solve for x
    x = 52,694,117,473.44/312,287.93
  6. Step 6: Final answer
    x = 168,735.68

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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.