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Finding the Fourth Proportional to 178,471.56, 246,297.58 and 97,902.48

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Solution

The fourth proportional to 178,471.56, 246,297.58 and 97,902.48 is: 135,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,471.56 : 246,297.58 = 97,902.48 : x
  2. Step 2: Convert to fraction form
    178,471.56/246,297.58 = 97,902.48/x
  3. Step 3: Cross multiply
    178,471.56x = 246,297.58 × 97,902.48
  4. Step 4: Simplify right side
    178,471.56x = 24,113,143,900.00
  5. Step 5: Solve for x
    x = 24,113,143,900.00/178,471.56
  6. Step 6: Final answer
    x = 135,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.