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Finding the Fourth Proportional to 255,231.84, 382,863.28 and 77,751.84

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Solution

The fourth proportional to 255,231.84, 382,863.28 and 77,751.84 is: 116,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,231.84 : 382,863.28 = 77,751.84 : x
  2. Step 2: Convert to fraction form
    255,231.84/382,863.28 = 77,751.84/x
  3. Step 3: Cross multiply
    255,231.84x = 382,863.28 × 77,751.84
  4. Step 4: Simplify right side
    255,231.84x = 29,768,324,488.44
  5. Step 5: Solve for x
    x = 29,768,324,488.44/255,231.84
  6. Step 6: Final answer
    x = 116,632.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.