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Finding the Fourth Proportional to 205,335.60, 308,233.80 and 158,794.80

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Solution

The fourth proportional to 205,335.60, 308,233.80 and 158,794.80 is: 238,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,335.60 : 308,233.80 = 158,794.80 : x
  2. Step 2: Convert to fraction form
    205,335.60/308,233.80 = 158,794.80/x
  3. Step 3: Cross multiply
    205,335.60x = 308,233.80 × 158,794.80
  4. Step 4: Simplify right side
    205,335.60x = 48,945,924,624.24
  5. Step 5: Solve for x
    x = 48,945,924,624.24/205,335.60
  6. Step 6: Final answer
    x = 238,370.38

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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.