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Finding the Fourth Proportional to 205,758.57, 283,935.33 and 115,097.03

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Solution

The fourth proportional to 205,758.57, 283,935.33 and 115,097.03 is: 158,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,758.57 : 283,935.33 = 115,097.03 : x
  2. Step 2: Convert to fraction form
    205,758.57/283,935.33 = 115,097.03/x
  3. Step 3: Cross multiply
    205,758.57x = 283,935.33 × 115,097.03
  4. Step 4: Simplify right side
    205,758.57x = 32,680,113,195.07
  5. Step 5: Solve for x
    x = 32,680,113,195.07/205,758.57
  6. Step 6: Final answer
    x = 158,827.47

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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.