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Finding the Fourth Proportional to 297,108, 445,681.44 and 130,896

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Solution

The fourth proportional to 297,108, 445,681.44 and 130,896 is: 196,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,108 : 445,681.44 = 130,896 : x
  2. Step 2: Convert to fraction form
    297,108/445,681.44 = 130,896/x
  3. Step 3: Cross multiply
    297,108x = 445,681.44 × 130,896
  4. Step 4: Simplify right side
    297,108x = 58,337,917,770.24
  5. Step 5: Solve for x
    x = 58,337,917,770.24/297,108
  6. Step 6: Final answer
    x = 196,352.56

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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.