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Finding the Fourth Proportional to 256,822.12, 354,395.28 and 143,623

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Solution

The fourth proportional to 256,822.12, 354,395.28 and 143,623 is: 198,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.12 : 354,395.28 = 143,623 : x
  2. Step 2: Convert to fraction form
    256,822.12/354,395.28 = 143,623/x
  3. Step 3: Cross multiply
    256,822.12x = 354,395.28 × 143,623
  4. Step 4: Simplify right side
    256,822.12x = 50,899,313,299.44
  5. Step 5: Solve for x
    x = 50,899,313,299.44/256,822.12
  6. Step 6: Final answer
    x = 198,188.98

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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.