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Finding the Fourth Proportional to 156,793.56, 235,194.80 and 38,464.80

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Solution

The fourth proportional to 156,793.56, 235,194.80 and 38,464.80 is: 57,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793.56 : 235,194.80 = 38,464.80 : x
  2. Step 2: Convert to fraction form
    156,793.56/235,194.80 = 38,464.80/x
  3. Step 3: Cross multiply
    156,793.56x = 235,194.80 × 38,464.80
  4. Step 4: Simplify right side
    156,793.56x = 9,046,720,943.04
  5. Step 5: Solve for x
    x = 9,046,720,943.04/156,793.56
  6. Step 6: Final answer
    x = 57,698.29

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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.