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Finding the Fourth Proportional to 205,201.66, 308,117.56 and 182,921.66

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Solution

The fourth proportional to 205,201.66, 308,117.56 and 182,921.66 is: 274,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,201.66 : 308,117.56 = 182,921.66 : x
  2. Step 2: Convert to fraction form
    205,201.66/308,117.56 = 182,921.66/x
  3. Step 3: Cross multiply
    205,201.66x = 308,117.56 × 182,921.66
  4. Step 4: Simplify right side
    205,201.66x = 56,361,375,550.35
  5. Step 5: Solve for x
    x = 56,361,375,550.35/205,201.66
  6. Step 6: Final answer
    x = 274,663.35

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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.