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Finding the Fourth Proportional to 235,657.29, 353,432.64 and 67,174.02

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Solution

The fourth proportional to 235,657.29, 353,432.64 and 67,174.02 is: 100,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,657.29 : 353,432.64 = 67,174.02 : x
  2. Step 2: Convert to fraction form
    235,657.29/353,432.64 = 67,174.02/x
  3. Step 3: Cross multiply
    235,657.29x = 353,432.64 × 67,174.02
  4. Step 4: Simplify right side
    235,657.29x = 23,741,491,228.01
  5. Step 5: Solve for x
    x = 23,741,491,228.01/235,657.29
  6. Step 6: Final answer
    x = 100,745.84

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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.