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Finding the Fourth Proportional to 256,714.92, 384,912 and 98,755.20

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Solution

The fourth proportional to 256,714.92, 384,912 and 98,755.20 is: 148,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,714.92 : 384,912 = 98,755.20 : x
  2. Step 2: Convert to fraction form
    256,714.92/384,912 = 98,755.20/x
  3. Step 3: Cross multiply
    256,714.92x = 384,912 × 98,755.20
  4. Step 4: Simplify right side
    256,714.92x = 38,012,061,542.40
  5. Step 5: Solve for x
    x = 38,012,061,542.40/256,714.92
  6. Step 6: Final answer
    x = 148,071.10

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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.