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Finding the Fourth Proportional to 205,364.85, 308,076.44 and 63,221.96

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Solution

The fourth proportional to 205,364.85, 308,076.44 and 63,221.96 is: 94,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.85 : 308,076.44 = 63,221.96 : x
  2. Step 2: Convert to fraction form
    205,364.85/308,076.44 = 63,221.96/x
  3. Step 3: Cross multiply
    205,364.85x = 308,076.44 × 63,221.96
  4. Step 4: Simplify right side
    205,364.85x = 19,477,194,510.13
  5. Step 5: Solve for x
    x = 19,477,194,510.13/205,364.85
  6. Step 6: Final answer
    x = 94,841.91

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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.