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Finding the Fourth Proportional to 254,680.72, 382,097.46 and 102,799.64

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Solution

The fourth proportional to 254,680.72, 382,097.46 and 102,799.64 is: 154,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,680.72 : 382,097.46 = 102,799.64 : x
  2. Step 2: Convert to fraction form
    254,680.72/382,097.46 = 102,799.64/x
  3. Step 3: Cross multiply
    254,680.72x = 382,097.46 × 102,799.64
  4. Step 4: Simplify right side
    254,680.72x = 39,279,481,332.91
  5. Step 5: Solve for x
    x = 39,279,481,332.91/254,680.72
  6. Step 6: Final answer
    x = 154,230.29

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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.