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Finding the Fourth Proportional to 275,735.10, 380,506.15 and 153,227.06

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Solution

The fourth proportional to 275,735.10, 380,506.15 and 153,227.06 is: 211,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,735.10 : 380,506.15 = 153,227.06 : x
  2. Step 2: Convert to fraction form
    275,735.10/380,506.15 = 153,227.06/x
  3. Step 3: Cross multiply
    275,735.10x = 380,506.15 × 153,227.06
  4. Step 4: Simplify right side
    275,735.10x = 58,303,839,958.07
  5. Step 5: Solve for x
    x = 58,303,839,958.07/275,735.10
  6. Step 6: Final answer
    x = 211,448.74

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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.