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Finding the Fourth Proportional to 133,205.92, 183,824.33 and 72,777.58

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Solution

The fourth proportional to 133,205.92, 183,824.33 and 72,777.58 is: 100,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.92 : 183,824.33 = 72,777.58 : x
  2. Step 2: Convert to fraction form
    133,205.92/183,824.33 = 72,777.58/x
  3. Step 3: Cross multiply
    133,205.92x = 183,824.33 × 72,777.58
  4. Step 4: Simplify right side
    133,205.92x = 13,378,289,518.63
  5. Step 5: Solve for x
    x = 13,378,289,518.63/133,205.92
  6. Step 6: Final answer
    x = 100,433.15

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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.