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Finding the Fourth Proportional to 204,046.30, 306,069.45 and 185,347.45

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Solution

The fourth proportional to 204,046.30, 306,069.45 and 185,347.45 is: 278,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046.30 : 306,069.45 = 185,347.45 : x
  2. Step 2: Convert to fraction form
    204,046.30/306,069.45 = 185,347.45/x
  3. Step 3: Cross multiply
    204,046.30x = 306,069.45 × 185,347.45
  4. Step 4: Simplify right side
    204,046.30x = 56,729,192,080.40
  5. Step 5: Solve for x
    x = 56,729,192,080.40/204,046.30
  6. Step 6: Final answer
    x = 278,021.18

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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.