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Finding the Fourth Proportional to 265,099.43, 397,498.55 and 180,961.49

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Solution

The fourth proportional to 265,099.43, 397,498.55 and 180,961.49 is: 271,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,099.43 : 397,498.55 = 180,961.49 : x
  2. Step 2: Convert to fraction form
    265,099.43/397,498.55 = 180,961.49/x
  3. Step 3: Cross multiply
    265,099.43x = 397,498.55 × 180,961.49
  4. Step 4: Simplify right side
    265,099.43x = 71,931,926,988.54
  5. Step 5: Solve for x
    x = 71,931,926,988.54/265,099.43
  6. Step 6: Final answer
    x = 271,339.43

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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.