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Finding the Fourth Proportional to 177,949.49, 266,869.31 and 51,599.05

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Solution

The fourth proportional to 177,949.49, 266,869.31 and 51,599.05 is: 77,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,949.49 : 266,869.31 = 51,599.05 : x
  2. Step 2: Convert to fraction form
    177,949.49/266,869.31 = 51,599.05/x
  3. Step 3: Cross multiply
    177,949.49x = 266,869.31 × 51,599.05
  4. Step 4: Simplify right side
    177,949.49x = 13,770,201,277.81
  5. Step 5: Solve for x
    x = 13,770,201,277.81/177,949.49
  6. Step 6: Final answer
    x = 77,382.64

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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.