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Finding the Fourth Proportional to 298,180.60, 447,789.30 and 158,212.60

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Solution

The fourth proportional to 298,180.60, 447,789.30 and 158,212.60 is: 237,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,180.60 : 447,789.30 = 158,212.60 : x
  2. Step 2: Convert to fraction form
    298,180.60/447,789.30 = 158,212.60/x
  3. Step 3: Cross multiply
    298,180.60x = 447,789.30 × 158,212.60
  4. Step 4: Simplify right side
    298,180.60x = 70,845,909,405.18
  5. Step 5: Solve for x
    x = 70,845,909,405.18/298,180.60
  6. Step 6: Final answer
    x = 237,593.96

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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.