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Finding the Fourth Proportional to 253,793.58, 380,694.72 and 96,096.30

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Solution

The fourth proportional to 253,793.58, 380,694.72 and 96,096.30 is: 144,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,793.58 : 380,694.72 = 96,096.30 : x
  2. Step 2: Convert to fraction form
    253,793.58/380,694.72 = 96,096.30/x
  3. Step 3: Cross multiply
    253,793.58x = 380,694.72 × 96,096.30
  4. Step 4: Simplify right side
    253,793.58x = 36,583,354,021.54
  5. Step 5: Solve for x
    x = 36,583,354,021.54/253,793.58
  6. Step 6: Final answer
    x = 144,146.10

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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.