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Finding the Fourth Proportional to 205,093.16, 283,028.03 and 114,448.16

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Solution

The fourth proportional to 205,093.16, 283,028.03 and 114,448.16 is: 157,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,093.16 : 283,028.03 = 114,448.16 : x
  2. Step 2: Convert to fraction form
    205,093.16/283,028.03 = 114,448.16/x
  3. Step 3: Cross multiply
    205,093.16x = 283,028.03 × 114,448.16
  4. Step 4: Simplify right side
    205,093.16x = 32,392,037,826.43
  5. Step 5: Solve for x
    x = 32,392,037,826.43/205,093.16
  6. Step 6: Final answer
    x = 157,938.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.