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Finding the Fourth Proportional to 205,765.80, 308,648.70 and 191,941.80

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Solution

The fourth proportional to 205,765.80, 308,648.70 and 191,941.80 is: 287,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.80 : 308,648.70 = 191,941.80 : x
  2. Step 2: Convert to fraction form
    205,765.80/308,648.70 = 191,941.80/x
  3. Step 3: Cross multiply
    205,765.80x = 308,648.70 × 191,941.80
  4. Step 4: Simplify right side
    205,765.80x = 59,242,587,045.66
  5. Step 5: Solve for x
    x = 59,242,587,045.66/205,765.80
  6. Step 6: Final answer
    x = 287,912.70

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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.