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Finding the Fourth Proportional to 256,131.29, 384,215.50 and 98,359.74

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Solution

The fourth proportional to 256,131.29, 384,215.50 and 98,359.74 is: 147,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,131.29 : 384,215.50 = 98,359.74 : x
  2. Step 2: Convert to fraction form
    256,131.29/384,215.50 = 98,359.74/x
  3. Step 3: Cross multiply
    256,131.29x = 384,215.50 × 98,359.74
  4. Step 4: Simplify right side
    256,131.29x = 37,791,337,887.53
  5. Step 5: Solve for x
    x = 37,791,337,887.53/256,131.29
  6. Step 6: Final answer
    x = 147,546.74

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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.