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Finding the Fourth Proportional to 253,922.88, 380,887.56 and 113,652.48

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Solution

The fourth proportional to 253,922.88, 380,887.56 and 113,652.48 is: 170,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,922.88 : 380,887.56 = 113,652.48 : x
  2. Step 2: Convert to fraction form
    253,922.88/380,887.56 = 113,652.48/x
  3. Step 3: Cross multiply
    253,922.88x = 380,887.56 × 113,652.48
  4. Step 4: Simplify right side
    253,922.88x = 43,288,815,795.15
  5. Step 5: Solve for x
    x = 43,288,815,795.15/253,922.88
  6. Step 6: Final answer
    x = 170,480.17

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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.