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Finding the Fourth Proportional to 272,044.70, 408,067.05 and 105,724.70

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Solution

The fourth proportional to 272,044.70, 408,067.05 and 105,724.70 is: 158,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,044.70 : 408,067.05 = 105,724.70 : x
  2. Step 2: Convert to fraction form
    272,044.70/408,067.05 = 105,724.70/x
  3. Step 3: Cross multiply
    272,044.70x = 408,067.05 × 105,724.70
  4. Step 4: Simplify right side
    272,044.70x = 43,142,766,441.14
  5. Step 5: Solve for x
    x = 43,142,766,441.14/272,044.70
  6. Step 6: Final answer
    x = 158,587.05

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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.