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Finding the Fourth Proportional to 272,951.64, 409,427.46 and 106,623

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Solution

The fourth proportional to 272,951.64, 409,427.46 and 106,623 is: 159,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,951.64 : 409,427.46 = 106,623 : x
  2. Step 2: Convert to fraction form
    272,951.64/409,427.46 = 106,623/x
  3. Step 3: Cross multiply
    272,951.64x = 409,427.46 × 106,623
  4. Step 4: Simplify right side
    272,951.64x = 43,654,384,067.58
  5. Step 5: Solve for x
    x = 43,654,384,067.58/272,951.64
  6. Step 6: Final answer
    x = 159,934.50

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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.