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Finding the Fourth Proportional to 361,496.69, 542,245.78 and 148,225.31

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Solution

The fourth proportional to 361,496.69, 542,245.78 and 148,225.31 is: 222,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,496.69 : 542,245.78 = 148,225.31 : x
  2. Step 2: Convert to fraction form
    361,496.69/542,245.78 = 148,225.31/x
  3. Step 3: Cross multiply
    361,496.69x = 542,245.78 × 148,225.31
  4. Step 4: Simplify right side
    361,496.69x = 80,374,546,125.46
  5. Step 5: Solve for x
    x = 80,374,546,125.46/361,496.69
  6. Step 6: Final answer
    x = 222,338.27

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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.