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Finding the Fourth Proportional to 167,920.50, 251,979.16 and 120,484.47

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Solution

The fourth proportional to 167,920.50, 251,979.16 and 120,484.47 is: 180,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,920.50 : 251,979.16 = 120,484.47 : x
  2. Step 2: Convert to fraction form
    167,920.50/251,979.16 = 120,484.47/x
  3. Step 3: Cross multiply
    167,920.50x = 251,979.16 × 120,484.47
  4. Step 4: Simplify right side
    167,920.50x = 30,359,575,543.65
  5. Step 5: Solve for x
    x = 30,359,575,543.65/167,920.50
  6. Step 6: Final answer
    x = 180,797.32

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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.