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Finding the Fourth Proportional to 254,754.36, 382,131.54 and 114,348.96

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Solution

The fourth proportional to 254,754.36, 382,131.54 and 114,348.96 is: 171,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,754.36 : 382,131.54 = 114,348.96 : x
  2. Step 2: Convert to fraction form
    254,754.36/382,131.54 = 114,348.96/x
  3. Step 3: Cross multiply
    254,754.36x = 382,131.54 × 114,348.96
  4. Step 4: Simplify right side
    254,754.36x = 43,696,344,182.20
  5. Step 5: Solve for x
    x = 43,696,344,182.20/254,754.36
  6. Step 6: Final answer
    x = 171,523.44

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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.