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Finding the Fourth Proportional to 205,112.58, 283,081.13 and 119,053.05

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Solution

The fourth proportional to 205,112.58, 283,081.13 and 119,053.05 is: 164,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,112.58 : 283,081.13 = 119,053.05 : x
  2. Step 2: Convert to fraction form
    205,112.58/283,081.13 = 119,053.05/x
  3. Step 3: Cross multiply
    205,112.58x = 283,081.13 × 119,053.05
  4. Step 4: Simplify right side
    205,112.58x = 33,701,671,923.95
  5. Step 5: Solve for x
    x = 33,701,671,923.95/205,112.58
  6. Step 6: Final answer
    x = 164,308.17

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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.