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Finding the Fourth Proportional to 161,105.80, 241,658.70 and 148,664.20

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Solution

The fourth proportional to 161,105.80, 241,658.70 and 148,664.20 is: 222,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,105.80 : 241,658.70 = 148,664.20 : x
  2. Step 2: Convert to fraction form
    161,105.80/241,658.70 = 148,664.20/x
  3. Step 3: Cross multiply
    161,105.80x = 241,658.70 × 148,664.20
  4. Step 4: Simplify right side
    161,105.80x = 35,925,997,308.54
  5. Step 5: Solve for x
    x = 35,925,997,308.54/161,105.80
  6. Step 6: Final answer
    x = 222,996.30

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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.