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Finding the Fourth Proportional to 133,206.26, 183,824.76 and 72,777.89

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Solution

The fourth proportional to 133,206.26, 183,824.76 and 72,777.89 is: 100,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.26 : 183,824.76 = 72,777.89 : x
  2. Step 2: Convert to fraction form
    133,206.26/183,824.76 = 72,777.89/x
  3. Step 3: Cross multiply
    133,206.26x = 183,824.76 × 72,777.89
  4. Step 4: Simplify right side
    133,206.26x = 13,378,377,243.43
  5. Step 5: Solve for x
    x = 13,378,377,243.43/133,206.26
  6. Step 6: Final answer
    x = 100,433.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.