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Finding the Fourth Proportional to 205,105.68, 283,060.02 and 114,479.28

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Solution

The fourth proportional to 205,105.68, 283,060.02 and 114,479.28 is: 157,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,105.68 : 283,060.02 = 114,479.28 : x
  2. Step 2: Convert to fraction form
    205,105.68/283,060.02 = 114,479.28/x
  3. Step 3: Cross multiply
    205,105.68x = 283,060.02 × 114,479.28
  4. Step 4: Simplify right side
    205,105.68x = 32,404,507,286.39
  5. Step 5: Solve for x
    x = 32,404,507,286.39/205,105.68
  6. Step 6: Final answer
    x = 157,989.32

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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.