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Finding the Fourth Proportional to 256,224.35, 353,563.43 and 148,817.13

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Solution

The fourth proportional to 256,224.35, 353,563.43 and 148,817.13 is: 205,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,224.35 : 353,563.43 = 148,817.13 : x
  2. Step 2: Convert to fraction form
    256,224.35/353,563.43 = 148,817.13/x
  3. Step 3: Cross multiply
    256,224.35x = 353,563.43 × 148,817.13
  4. Step 4: Simplify right side
    256,224.35x = 52,616,294,181.47
  5. Step 5: Solve for x
    x = 52,616,294,181.47/256,224.35
  6. Step 6: Final answer
    x = 205,352.44

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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.