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Finding the Fourth Proportional to 256,139.46, 384,319.98 and 98,331.24

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Solution

The fourth proportional to 256,139.46, 384,319.98 and 98,331.24 is: 147,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,139.46 : 384,319.98 = 98,331.24 : x
  2. Step 2: Convert to fraction form
    256,139.46/384,319.98 = 98,331.24/x
  3. Step 3: Cross multiply
    256,139.46x = 384,319.98 × 98,331.24
  4. Step 4: Simplify right side
    256,139.46x = 37,790,660,190.18
  5. Step 5: Solve for x
    x = 37,790,660,190.18/256,139.46
  6. Step 6: Final answer
    x = 147,539.39

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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.