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Finding the Fourth Proportional to 254,448.30, 381,672.45 and 159,969.90

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Solution

The fourth proportional to 254,448.30, 381,672.45 and 159,969.90 is: 239,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,448.30 : 381,672.45 = 159,969.90 : x
  2. Step 2: Convert to fraction form
    254,448.30/381,672.45 = 159,969.90/x
  3. Step 3: Cross multiply
    254,448.30x = 381,672.45 × 159,969.90
  4. Step 4: Simplify right side
    254,448.30x = 61,056,103,659.26
  5. Step 5: Solve for x
    x = 61,056,103,659.26/254,448.30
  6. Step 6: Final answer
    x = 239,954.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.