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Finding the Fourth Proportional to 204,643.04, 306,964.08 and 78,295.73

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Solution

The fourth proportional to 204,643.04, 306,964.08 and 78,295.73 is: 117,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,643.04 : 306,964.08 = 78,295.73 : x
  2. Step 2: Convert to fraction form
    204,643.04/306,964.08 = 78,295.73/x
  3. Step 3: Cross multiply
    204,643.04x = 306,964.08 × 78,295.73
  4. Step 4: Simplify right side
    204,643.04x = 24,033,975,192.56
  5. Step 5: Solve for x
    x = 24,033,975,192.56/204,643.04
  6. Step 6: Final answer
    x = 117,443.41

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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.