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Finding the Fourth Proportional to 235,772.80, 353,659.20 and 161,123.20

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Solution

The fourth proportional to 235,772.80, 353,659.20 and 161,123.20 is: 241,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,772.80 : 353,659.20 = 161,123.20 : x
  2. Step 2: Convert to fraction form
    235,772.80/353,659.20 = 161,123.20/x
  3. Step 3: Cross multiply
    235,772.80x = 353,659.20 × 161,123.20
  4. Step 4: Simplify right side
    235,772.80x = 56,982,702,013.44
  5. Step 5: Solve for x
    x = 56,982,702,013.44/235,772.80
  6. Step 6: Final answer
    x = 241,684.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.