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Finding the Fourth Proportional to 253,533.44, 380,242.56 and 113,216

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Solution

The fourth proportional to 253,533.44, 380,242.56 and 113,216 is: 169,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,533.44 : 380,242.56 = 113,216 : x
  2. Step 2: Convert to fraction form
    253,533.44/380,242.56 = 113,216/x
  3. Step 3: Cross multiply
    253,533.44x = 380,242.56 × 113,216
  4. Step 4: Simplify right side
    253,533.44x = 43,049,541,672.96
  5. Step 5: Solve for x
    x = 43,049,541,672.96/253,533.44
  6. Step 6: Final answer
    x = 169,798.28

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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.