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Finding the Fourth Proportional to 255,228, 382,845.24 and 89,016

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Solution

The fourth proportional to 255,228, 382,845.24 and 89,016 is: 133,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,228 : 382,845.24 = 89,016 : x
  2. Step 2: Convert to fraction form
    255,228/382,845.24 = 89,016/x
  3. Step 3: Cross multiply
    255,228x = 382,845.24 × 89,016
  4. Step 4: Simplify right side
    255,228x = 34,079,351,883.84
  5. Step 5: Solve for x
    x = 34,079,351,883.84/255,228
  6. Step 6: Final answer
    x = 133,525.13

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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.