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Finding the Fourth Proportional to 100,222.86, 150,361.98 and 89,206.53

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Solution

The fourth proportional to 100,222.86, 150,361.98 and 89,206.53 is: 133,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222.86 : 150,361.98 = 89,206.53 : x
  2. Step 2: Convert to fraction form
    100,222.86/150,361.98 = 89,206.53/x
  3. Step 3: Cross multiply
    100,222.86x = 150,361.98 × 89,206.53
  4. Step 4: Simplify right side
    100,222.86x = 13,413,270,409.60
  5. Step 5: Solve for x
    x = 13,413,270,409.60/100,222.86
  6. Step 6: Final answer
    x = 133,834.44

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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.