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Finding the Fourth Proportional to 253,926.32, 380,561.42 and 120,847.37

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Solution

The fourth proportional to 253,926.32, 380,561.42 and 120,847.37 is: 181,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,926.32 : 380,561.42 = 120,847.37 : x
  2. Step 2: Convert to fraction form
    253,926.32/380,561.42 = 120,847.37/x
  3. Step 3: Cross multiply
    253,926.32x = 380,561.42 × 120,847.37
  4. Step 4: Simplify right side
    253,926.32x = 45,989,845,129.78
  5. Step 5: Solve for x
    x = 45,989,845,129.78/253,926.32
  6. Step 6: Final answer
    x = 181,114.92

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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.