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Finding the Fourth Proportional to 312,236.86, 468,404.07 and 101,825.86

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Solution

The fourth proportional to 312,236.86, 468,404.07 and 101,825.86 is: 152,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,236.86 : 468,404.07 = 101,825.86 : x
  2. Step 2: Convert to fraction form
    312,236.86/468,404.07 = 101,825.86/x
  3. Step 3: Cross multiply
    312,236.86x = 468,404.07 × 101,825.86
  4. Step 4: Simplify right side
    312,236.86x = 47,695,647,255.25
  5. Step 5: Solve for x
    x = 47,695,647,255.25/312,236.86
  6. Step 6: Final answer
    x = 152,754.70

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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.