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Finding the Fourth Proportional to 175,961.82, 263,916 and 57,630.54

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Solution

The fourth proportional to 175,961.82, 263,916 and 57,630.54 is: 86,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,961.82 : 263,916 = 57,630.54 : x
  2. Step 2: Convert to fraction form
    175,961.82/263,916 = 57,630.54/x
  3. Step 3: Cross multiply
    175,961.82x = 263,916 × 57,630.54
  4. Step 4: Simplify right side
    175,961.82x = 15,209,621,594.64
  5. Step 5: Solve for x
    x = 15,209,621,594.64/175,961.82
  6. Step 6: Final answer
    x = 86,437.06

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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.