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Finding the Fourth Proportional to 178,454.22, 246,266.56 and 97,883

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Solution

The fourth proportional to 178,454.22, 246,266.56 and 97,883 is: 135,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,454.22 : 246,266.56 = 97,883 : x
  2. Step 2: Convert to fraction form
    178,454.22/246,266.56 = 97,883/x
  3. Step 3: Cross multiply
    178,454.22x = 246,266.56 × 97,883
  4. Step 4: Simplify right side
    178,454.22x = 24,105,309,692.48
  5. Step 5: Solve for x
    x = 24,105,309,692.48/178,454.22
  6. Step 6: Final answer
    x = 135,078.40

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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.