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Finding the Fourth Proportional to 253,435.90, 380,238.36 and 84,973

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Solution

The fourth proportional to 253,435.90, 380,238.36 and 84,973 is: 127,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,435.90 : 380,238.36 = 84,973 : x
  2. Step 2: Convert to fraction form
    253,435.90/380,238.36 = 84,973/x
  3. Step 3: Cross multiply
    253,435.90x = 380,238.36 × 84,973
  4. Step 4: Simplify right side
    253,435.90x = 32,309,994,164.28
  5. Step 5: Solve for x
    x = 32,309,994,164.28/253,435.90
  6. Step 6: Final answer
    x = 127,487.83

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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.