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Finding the Fourth Proportional to 133,084.80, 199,627.20 and 119,962.80

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Solution

The fourth proportional to 133,084.80, 199,627.20 and 119,962.80 is: 179,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.80 : 199,627.20 = 119,962.80 : x
  2. Step 2: Convert to fraction form
    133,084.80/199,627.20 = 119,962.80/x
  3. Step 3: Cross multiply
    133,084.80x = 199,627.20 × 119,962.80
  4. Step 4: Simplify right side
    133,084.80x = 23,947,837,868.16
  5. Step 5: Solve for x
    x = 23,947,837,868.16/133,084.80
  6. Step 6: Final answer
    x = 179,944.20

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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.