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Finding the Fourth Proportional to 322,090.36, 482,937.10 and 108,838.12

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Solution

The fourth proportional to 322,090.36, 482,937.10 and 108,838.12 is: 163,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,090.36 : 482,937.10 = 108,838.12 : x
  2. Step 2: Convert to fraction form
    322,090.36/482,937.10 = 108,838.12/x
  3. Step 3: Cross multiply
    322,090.36x = 482,937.10 × 108,838.12
  4. Step 4: Simplify right side
    322,090.36x = 52,561,966,042.25
  5. Step 5: Solve for x
    x = 52,561,966,042.25/322,090.36
  6. Step 6: Final answer
    x = 163,190.12

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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.