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Finding the Fourth Proportional to 133,209.58, 199,684.50 and 53,223.70

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Solution

The fourth proportional to 133,209.58, 199,684.50 and 53,223.70 is: 79,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209.58 : 199,684.50 = 53,223.70 : x
  2. Step 2: Convert to fraction form
    133,209.58/199,684.50 = 53,223.70/x
  3. Step 3: Cross multiply
    133,209.58x = 199,684.50 × 53,223.70
  4. Step 4: Simplify right side
    133,209.58x = 10,627,947,922.65
  5. Step 5: Solve for x
    x = 10,627,947,922.65/133,209.58
  6. Step 6: Final answer
    x = 79,783.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.