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Finding the Fourth Proportional to 133,203.12, 183,817.20 and 72,774

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Solution

The fourth proportional to 133,203.12, 183,817.20 and 72,774 is: 100,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,203.12 : 183,817.20 = 72,774 : x
  2. Step 2: Convert to fraction form
    133,203.12/183,817.20 = 72,774/x
  3. Step 3: Cross multiply
    133,203.12x = 183,817.20 × 72,774
  4. Step 4: Simplify right side
    133,203.12x = 13,377,112,912.80
  5. Step 5: Solve for x
    x = 13,377,112,912.80/133,203.12
  6. Step 6: Final answer
    x = 100,426.42

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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.