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Finding the Fourth Proportional to 205,659.05, 283,808.52 and 115,015.38

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Solution

The fourth proportional to 205,659.05, 283,808.52 and 115,015.38 is: 158,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,659.05 : 283,808.52 = 115,015.38 : x
  2. Step 2: Convert to fraction form
    205,659.05/283,808.52 = 115,015.38/x
  3. Step 3: Cross multiply
    205,659.05x = 283,808.52 × 115,015.38
  4. Step 4: Simplify right side
    205,659.05x = 32,642,344,775.04
  5. Step 5: Solve for x
    x = 32,642,344,775.04/205,659.05
  6. Step 6: Final answer
    x = 158,720.69

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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.