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Finding the Fourth Proportional to 204,266.24, 306,315.52 and 77,952.48

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Solution

The fourth proportional to 204,266.24, 306,315.52 and 77,952.48 is: 116,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,266.24 : 306,315.52 = 77,952.48 : x
  2. Step 2: Convert to fraction form
    204,266.24/306,315.52 = 77,952.48/x
  3. Step 3: Cross multiply
    204,266.24x = 306,315.52 × 77,952.48
  4. Step 4: Simplify right side
    204,266.24x = 23,878,054,446.49
  5. Step 5: Solve for x
    x = 23,878,054,446.49/204,266.24
  6. Step 6: Final answer
    x = 116,896.72

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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.