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Finding the Fourth Proportional to 256,185.40, 384,292.12 and 106,440.83

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Solution

The fourth proportional to 256,185.40, 384,292.12 and 106,440.83 is: 159,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,185.40 : 384,292.12 = 106,440.83 : x
  2. Step 2: Convert to fraction form
    256,185.40/384,292.12 = 106,440.83/x
  3. Step 3: Cross multiply
    256,185.40x = 384,292.12 × 106,440.83
  4. Step 4: Simplify right side
    256,185.40x = 40,904,371,683.06
  5. Step 5: Solve for x
    x = 40,904,371,683.06/256,185.40
  6. Step 6: Final answer
    x = 159,667.07

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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.