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Finding the Fourth Proportional to 204,673.68, 306,752.52 and 109,668.24

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Solution

The fourth proportional to 204,673.68, 306,752.52 and 109,668.24 is: 164,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,673.68 : 306,752.52 = 109,668.24 : x
  2. Step 2: Convert to fraction form
    204,673.68/306,752.52 = 109,668.24/x
  3. Step 3: Cross multiply
    204,673.68x = 306,752.52 × 109,668.24
  4. Step 4: Simplify right side
    204,673.68x = 33,641,008,983.96
  5. Step 5: Solve for x
    x = 33,641,008,983.96/204,673.68
  6. Step 6: Final answer
    x = 164,364.12

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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.