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Finding the Fourth Proportional to 297,071.64, 445,724.16 and 130,743

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Solution

The fourth proportional to 297,071.64, 445,724.16 and 130,743 is: 196,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,071.64 : 445,724.16 = 130,743 : x
  2. Step 2: Convert to fraction form
    297,071.64/445,724.16 = 130,743/x
  3. Step 3: Cross multiply
    297,071.64x = 445,724.16 × 130,743
  4. Step 4: Simplify right side
    297,071.64x = 58,275,313,850.88
  5. Step 5: Solve for x
    x = 58,275,313,850.88/297,071.64
  6. Step 6: Final answer
    x = 196,165.86

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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.