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Finding the Fourth Proportional to 256,185.90, 384,292.86 and 106,441.33

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Solution

The fourth proportional to 256,185.90, 384,292.86 and 106,441.33 is: 159,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,185.90 : 384,292.86 = 106,441.33 : x
  2. Step 2: Convert to fraction form
    256,185.90/384,292.86 = 106,441.33/x
  3. Step 3: Cross multiply
    256,185.90x = 384,292.86 × 106,441.33
  4. Step 4: Simplify right side
    256,185.90x = 40,904,643,127.90
  5. Step 5: Solve for x
    x = 40,904,643,127.90/256,185.90
  6. Step 6: Final answer
    x = 159,667.82

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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.