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Finding the Fourth Proportional to 154,847, 232,293.60 and 54,998.82

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Solution

The fourth proportional to 154,847, 232,293.60 and 54,998.82 is: 82,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,847 : 232,293.60 = 54,998.82 : x
  2. Step 2: Convert to fraction form
    154,847/232,293.60 = 54,998.82/x
  3. Step 3: Cross multiply
    154,847x = 232,293.60 × 54,998.82
  4. Step 4: Simplify right side
    154,847x = 12,775,873,893.55
  5. Step 5: Solve for x
    x = 12,775,873,893.55/154,847
  6. Step 6: Final answer
    x = 82,506.43

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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.