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Finding the Fourth Proportional to 205,393.80, 307,572.30 and 134,891.40

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Solution

The fourth proportional to 205,393.80, 307,572.30 and 134,891.40 is: 201,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,393.80 : 307,572.30 = 134,891.40 : x
  2. Step 2: Convert to fraction form
    205,393.80/307,572.30 = 134,891.40/x
  3. Step 3: Cross multiply
    205,393.80x = 307,572.30 × 134,891.40
  4. Step 4: Simplify right side
    205,393.80x = 41,488,858,148.22
  5. Step 5: Solve for x
    x = 41,488,858,148.22/205,393.80
  6. Step 6: Final answer
    x = 201,996.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.