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Finding the Fourth Proportional to 321,206.88, 482,251.68 and 163,541.28

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Solution

The fourth proportional to 321,206.88, 482,251.68 and 163,541.28 is: 245,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,206.88 : 482,251.68 = 163,541.28 : x
  2. Step 2: Convert to fraction form
    321,206.88/482,251.68 = 163,541.28/x
  3. Step 3: Cross multiply
    321,206.88x = 482,251.68 × 163,541.28
  4. Step 4: Simplify right side
    321,206.88x = 78,868,057,029.35
  5. Step 5: Solve for x
    x = 78,868,057,029.35/321,206.88
  6. Step 6: Final answer
    x = 245,536.64

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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.