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Finding the Fourth Proportional to 192,820.60, 289,922.10 and 162,407.80

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Solution

The fourth proportional to 192,820.60, 289,922.10 and 162,407.80 is: 244,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,820.60 : 289,922.10 = 162,407.80 : x
  2. Step 2: Convert to fraction form
    192,820.60/289,922.10 = 162,407.80/x
  3. Step 3: Cross multiply
    192,820.60x = 289,922.10 × 162,407.80
  4. Step 4: Simplify right side
    192,820.60x = 47,085,610,432.38
  5. Step 5: Solve for x
    x = 47,085,610,432.38/192,820.60
  6. Step 6: Final answer
    x = 244,193.88

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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.