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Finding the Fourth Proportional to 167,742.80, 251,176.80 and 132,459.20

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Solution

The fourth proportional to 167,742.80, 251,176.80 and 132,459.20 is: 198,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,742.80 : 251,176.80 = 132,459.20 : x
  2. Step 2: Convert to fraction form
    167,742.80/251,176.80 = 132,459.20/x
  3. Step 3: Cross multiply
    167,742.80x = 251,176.80 × 132,459.20
  4. Step 4: Simplify right side
    167,742.80x = 33,270,677,986.56
  5. Step 5: Solve for x
    x = 33,270,677,986.56/167,742.80
  6. Step 6: Final answer
    x = 198,343.40

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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.