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Finding the Fourth Proportional to 255,682.97, 383,579.82 and 97,911.43

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Solution

The fourth proportional to 255,682.97, 383,579.82 and 97,911.43 is: 146,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,682.97 : 383,579.82 = 97,911.43 : x
  2. Step 2: Convert to fraction form
    255,682.97/383,579.82 = 97,911.43/x
  3. Step 3: Cross multiply
    255,682.97x = 383,579.82 × 97,911.43
  4. Step 4: Simplify right side
    255,682.97x = 37,556,847,736.39
  5. Step 5: Solve for x
    x = 37,556,847,736.39/255,682.97
  6. Step 6: Final answer
    x = 146,888.34

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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.