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Finding the Fourth Proportional to 178,414.68, 246,212.10 and 97,843.48

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Solution

The fourth proportional to 178,414.68, 246,212.10 and 97,843.48 is: 135,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,414.68 : 246,212.10 = 97,843.48 : x
  2. Step 2: Convert to fraction form
    178,414.68/246,212.10 = 97,843.48/x
  3. Step 3: Cross multiply
    178,414.68x = 246,212.10 × 97,843.48
  4. Step 4: Simplify right side
    178,414.68x = 24,090,248,682.11
  5. Step 5: Solve for x
    x = 24,090,248,682.11/178,414.68
  6. Step 6: Final answer
    x = 135,023.92

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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.