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Finding the Fourth Proportional to 175,846.26, 263,769.72 and 42,726.63

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Solution

The fourth proportional to 175,846.26, 263,769.72 and 42,726.63 is: 64,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,846.26 : 263,769.72 = 42,726.63 : x
  2. Step 2: Convert to fraction form
    175,846.26/263,769.72 = 42,726.63/x
  3. Step 3: Cross multiply
    175,846.26x = 263,769.72 × 42,726.63
  4. Step 4: Simplify right side
    175,846.26x = 11,269,991,231.64
  5. Step 5: Solve for x
    x = 11,269,991,231.64/175,846.26
  6. Step 6: Final answer
    x = 64,090.03

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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.