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Finding the Fourth Proportional to 205,359.80, 308,234.10 and 126,627.80

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Solution

The fourth proportional to 205,359.80, 308,234.10 and 126,627.80 is: 190,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,359.80 : 308,234.10 = 126,627.80 : x
  2. Step 2: Convert to fraction form
    205,359.80/308,234.10 = 126,627.80/x
  3. Step 3: Cross multiply
    205,359.80x = 308,234.10 × 126,627.80
  4. Step 4: Simplify right side
    205,359.80x = 39,031,005,967.98
  5. Step 5: Solve for x
    x = 39,031,005,967.98/205,359.80
  6. Step 6: Final answer
    x = 190,061.57

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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.