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Finding the Fourth Proportional to 253,596.24, 380,525.22 and 111,540.96

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Solution

The fourth proportional to 253,596.24, 380,525.22 and 111,540.96 is: 167,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,596.24 : 380,525.22 = 111,540.96 : x
  2. Step 2: Convert to fraction form
    253,596.24/380,525.22 = 111,540.96/x
  3. Step 3: Cross multiply
    253,596.24x = 380,525.22 × 111,540.96
  4. Step 4: Simplify right side
    253,596.24x = 42,444,148,343.01
  5. Step 5: Solve for x
    x = 42,444,148,343.01/253,596.24
  6. Step 6: Final answer
    x = 167,369.00

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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.