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Finding the Fourth Proportional to 547,111.54, 820,690.76 and 168,047.37

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Solution

The fourth proportional to 547,111.54, 820,690.76 and 168,047.37 is: 252,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,111.54 : 820,690.76 = 168,047.37 : x
  2. Step 2: Convert to fraction form
    547,111.54/820,690.76 = 168,047.37/x
  3. Step 3: Cross multiply
    547,111.54x = 820,690.76 × 168,047.37
  4. Step 4: Simplify right side
    547,111.54x = 137,914,923,801.30
  5. Step 5: Solve for x
    x = 137,914,923,801.30/547,111.54
  6. Step 6: Final answer
    x = 252,078.26

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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.