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Finding the Fourth Proportional to 216,400.86, 324,160.25 and 103,737.56

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Solution

The fourth proportional to 216,400.86, 324,160.25 and 103,737.56 is: 155,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,400.86 : 324,160.25 = 103,737.56 : x
  2. Step 2: Convert to fraction form
    216,400.86/324,160.25 = 103,737.56/x
  3. Step 3: Cross multiply
    216,400.86x = 324,160.25 × 103,737.56
  4. Step 4: Simplify right side
    216,400.86x = 33,627,591,244.50
  5. Step 5: Solve for x
    x = 33,627,591,244.50/216,400.86
  6. Step 6: Final answer
    x = 155,394.91

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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.