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Finding the Fourth Proportional to 156,137.82, 215,470.32 and 84,517.62

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Solution

The fourth proportional to 156,137.82, 215,470.32 and 84,517.62 is: 116,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,137.82 : 215,470.32 = 84,517.62 : x
  2. Step 2: Convert to fraction form
    156,137.82/215,470.32 = 84,517.62/x
  3. Step 3: Cross multiply
    156,137.82x = 215,470.32 × 84,517.62
  4. Step 4: Simplify right side
    156,137.82x = 18,211,038,627.04
  5. Step 5: Solve for x
    x = 18,211,038,627.04/156,137.82
  6. Step 6: Final answer
    x = 116,634.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.