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Finding the Fourth Proportional to 205,763.10, 308,644.65 and 183,455.70

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Solution

The fourth proportional to 205,763.10, 308,644.65 and 183,455.70 is: 275,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,763.10 : 308,644.65 = 183,455.70 : x
  2. Step 2: Convert to fraction form
    205,763.10/308,644.65 = 183,455.70/x
  3. Step 3: Cross multiply
    205,763.10x = 308,644.65 × 183,455.70
  4. Step 4: Simplify right side
    205,763.10x = 56,622,620,317.01
  5. Step 5: Solve for x
    x = 56,622,620,317.01/205,763.10
  6. Step 6: Final answer
    x = 275,183.55

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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.