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Finding the Fourth Proportional to 160,105.20, 239,812.20 and 132,457.20

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Solution

The fourth proportional to 160,105.20, 239,812.20 and 132,457.20 is: 198,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,105.20 : 239,812.20 = 132,457.20 : x
  2. Step 2: Convert to fraction form
    160,105.20/239,812.20 = 132,457.20/x
  3. Step 3: Cross multiply
    160,105.20x = 239,812.20 × 132,457.20
  4. Step 4: Simplify right side
    160,105.20x = 31,764,852,537.84
  5. Step 5: Solve for x
    x = 31,764,852,537.84/160,105.20
  6. Step 6: Final answer
    x = 198,399.88

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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.