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Finding the Fourth Proportional to 255,052.66, 382,625.43 and 84,284.14

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Solution

The fourth proportional to 255,052.66, 382,625.43 and 84,284.14 is: 126,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,052.66 : 382,625.43 = 84,284.14 : x
  2. Step 2: Convert to fraction form
    255,052.66/382,625.43 = 84,284.14/x
  3. Step 3: Cross multiply
    255,052.66x = 382,625.43 × 84,284.14
  4. Step 4: Simplify right side
    255,052.66x = 32,249,255,309.68
  5. Step 5: Solve for x
    x = 32,249,255,309.68/255,052.66
  6. Step 6: Final answer
    x = 126,441.56

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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.