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Finding the Fourth Proportional to 197,674.46, 296,512.28 and 47,914.16

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Solution

The fourth proportional to 197,674.46, 296,512.28 and 47,914.16 is: 71,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,674.46 : 296,512.28 = 47,914.16 : x
  2. Step 2: Convert to fraction form
    197,674.46/296,512.28 = 47,914.16/x
  3. Step 3: Cross multiply
    197,674.46x = 296,512.28 × 47,914.16
  4. Step 4: Simplify right side
    197,674.46x = 14,207,136,825.88
  5. Step 5: Solve for x
    x = 14,207,136,825.88/197,674.46
  6. Step 6: Final answer
    x = 71,871.38

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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.