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Finding the Fourth Proportional to 296,799.34, 445,202.43 and 107,274.10

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Solution

The fourth proportional to 296,799.34, 445,202.43 and 107,274.10 is: 160,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,799.34 : 445,202.43 = 107,274.10 : x
  2. Step 2: Convert to fraction form
    296,799.34/445,202.43 = 107,274.10/x
  3. Step 3: Cross multiply
    296,799.34x = 445,202.43 × 107,274.10
  4. Step 4: Simplify right side
    296,799.34x = 47,758,689,996.06
  5. Step 5: Solve for x
    x = 47,758,689,996.06/296,799.34
  6. Step 6: Final answer
    x = 160,912.39

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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.