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Finding the Fourth Proportional to 164,876.43, 247,231.49 and 117,464.43

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Solution

The fourth proportional to 164,876.43, 247,231.49 and 117,464.43 is: 176,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,876.43 : 247,231.49 = 117,464.43 : x
  2. Step 2: Convert to fraction form
    164,876.43/247,231.49 = 117,464.43/x
  3. Step 3: Cross multiply
    164,876.43x = 247,231.49 × 117,464.43
  4. Step 4: Simplify right side
    164,876.43x = 29,040,905,463.58
  5. Step 5: Solve for x
    x = 29,040,905,463.58/164,876.43
  6. Step 6: Final answer
    x = 176,137.40

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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.