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Finding the Fourth Proportional to 205,455.80, 307,665.30 and 163,983.80

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Solution

The fourth proportional to 205,455.80, 307,665.30 and 163,983.80 is: 245,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,455.80 : 307,665.30 = 163,983.80 : x
  2. Step 2: Convert to fraction form
    205,455.80/307,665.30 = 163,983.80/x
  3. Step 3: Cross multiply
    205,455.80x = 307,665.30 × 163,983.80
  4. Step 4: Simplify right side
    205,455.80x = 50,452,125,022.14
  5. Step 5: Solve for x
    x = 50,452,125,022.14/205,455.80
  6. Step 6: Final answer
    x = 245,561.94

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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.