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Finding the Fourth Proportional to 297,042.14, 445,679.85 and 130,713.50

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Solution

The fourth proportional to 297,042.14, 445,679.85 and 130,713.50 is: 196,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,042.14 : 445,679.85 = 130,713.50 : x
  2. Step 2: Convert to fraction form
    297,042.14/445,679.85 = 130,713.50/x
  3. Step 3: Cross multiply
    297,042.14x = 445,679.85 × 130,713.50
  4. Step 4: Simplify right side
    297,042.14x = 58,256,373,072.98
  5. Step 5: Solve for x
    x = 58,256,373,072.98/297,042.14
  6. Step 6: Final answer
    x = 196,121.58

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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.