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Finding the Fourth Proportional to 242,806.56, 334,905.48 and 161,119.68

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Solution

The fourth proportional to 242,806.56, 334,905.48 and 161,119.68 is: 222,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,806.56 : 334,905.48 = 161,119.68 : x
  2. Step 2: Convert to fraction form
    242,806.56/334,905.48 = 161,119.68/x
  3. Step 3: Cross multiply
    242,806.56x = 334,905.48 × 161,119.68
  4. Step 4: Simplify right side
    242,806.56x = 53,959,863,767.85
  5. Step 5: Solve for x
    x = 53,959,863,767.85/242,806.56
  6. Step 6: Final answer
    x = 222,233.96

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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.