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Finding the Fourth Proportional to 199,063.75, 274,707.98 and 109,639.75

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Solution

The fourth proportional to 199,063.75, 274,707.98 and 109,639.75 is: 151,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,063.75 : 274,707.98 = 109,639.75 : x
  2. Step 2: Convert to fraction form
    199,063.75/274,707.98 = 109,639.75/x
  3. Step 3: Cross multiply
    199,063.75x = 274,707.98 × 109,639.75
  4. Step 4: Simplify right side
    199,063.75x = 30,118,914,250.21
  5. Step 5: Solve for x
    x = 30,118,914,250.21/199,063.75
  6. Step 6: Final answer
    x = 151,302.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.