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Finding the Fourth Proportional to 254,736, 382,162.32 and 88,524

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Solution

The fourth proportional to 254,736, 382,162.32 and 88,524 is: 132,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,736 : 382,162.32 = 88,524 : x
  2. Step 2: Convert to fraction form
    254,736/382,162.32 = 88,524/x
  3. Step 3: Cross multiply
    254,736x = 382,162.32 × 88,524
  4. Step 4: Simplify right side
    254,736x = 33,830,537,215.68
  5. Step 5: Solve for x
    x = 33,830,537,215.68/254,736
  6. Step 6: Final answer
    x = 132,806.27

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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.