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Finding the Fourth Proportional to 253,104.66, 380,247.48 and 147,997.44

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Solution

The fourth proportional to 253,104.66, 380,247.48 and 147,997.44 is: 222,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,104.66 : 380,247.48 = 147,997.44 : x
  2. Step 2: Convert to fraction form
    253,104.66/380,247.48 = 147,997.44/x
  3. Step 3: Cross multiply
    253,104.66x = 380,247.48 × 147,997.44
  4. Step 4: Simplify right side
    253,104.66x = 56,275,653,606.45
  5. Step 5: Solve for x
    x = 56,275,653,606.45/253,104.66
  6. Step 6: Final answer
    x = 222,341.44

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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.