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Finding the Fourth Proportional to 133,200.65, 183,869.49 and 82,233.98

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Solution

The fourth proportional to 133,200.65, 183,869.49 and 82,233.98 is: 113,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,200.65 : 183,869.49 = 82,233.98 : x
  2. Step 2: Convert to fraction form
    133,200.65/183,869.49 = 82,233.98/x
  3. Step 3: Cross multiply
    133,200.65x = 183,869.49 × 82,233.98
  4. Step 4: Simplify right side
    133,200.65x = 15,120,319,963.27
  5. Step 5: Solve for x
    x = 15,120,319,963.27/133,200.65
  6. Step 6: Final answer
    x = 113,515.37

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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.