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Finding the Fourth Proportional to 178,389.12, 246,179.76 and 97,824

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Solution

The fourth proportional to 178,389.12, 246,179.76 and 97,824 is: 134,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,389.12 : 246,179.76 = 97,824 : x
  2. Step 2: Convert to fraction form
    178,389.12/246,179.76 = 97,824/x
  3. Step 3: Cross multiply
    178,389.12x = 246,179.76 × 97,824
  4. Step 4: Simplify right side
    178,389.12x = 24,082,288,842.24
  5. Step 5: Solve for x
    x = 24,082,288,842.24/178,389.12
  6. Step 6: Final answer
    x = 134,998.64

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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.