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Finding the Fourth Proportional to 193,873.20, 290,848.20 and 162,922.80

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Solution

The fourth proportional to 193,873.20, 290,848.20 and 162,922.80 is: 244,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,873.20 : 290,848.20 = 162,922.80 : x
  2. Step 2: Convert to fraction form
    193,873.20/290,848.20 = 162,922.80/x
  3. Step 3: Cross multiply
    193,873.20x = 290,848.20 × 162,922.80
  4. Step 4: Simplify right side
    193,873.20x = 47,385,803,118.96
  5. Step 5: Solve for x
    x = 47,385,803,118.96/193,873.20
  6. Step 6: Final answer
    x = 244,416.47

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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.