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Finding the Fourth Proportional to 205,519.84, 283,628.16 and 124,934.20

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Solution

The fourth proportional to 205,519.84, 283,628.16 and 124,934.20 is: 172,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.84 : 283,628.16 = 124,934.20 : x
  2. Step 2: Convert to fraction form
    205,519.84/283,628.16 = 124,934.20/x
  3. Step 3: Cross multiply
    205,519.84x = 283,628.16 × 124,934.20
  4. Step 4: Simplify right side
    205,519.84x = 35,434,857,267.07
  5. Step 5: Solve for x
    x = 35,434,857,267.07/205,519.84
  6. Step 6: Final answer
    x = 172,415.75

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