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Finding the Fourth Proportional to 167,989.20, 251,821.80 and 96,838.80

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Solution

The fourth proportional to 167,989.20, 251,821.80 and 96,838.80 is: 145,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,989.20 : 251,821.80 = 96,838.80 : x
  2. Step 2: Convert to fraction form
    167,989.20/251,821.80 = 96,838.80/x
  3. Step 3: Cross multiply
    167,989.20x = 251,821.80 × 96,838.80
  4. Step 4: Simplify right side
    167,989.20x = 24,386,120,925.84
  5. Step 5: Solve for x
    x = 24,386,120,925.84/167,989.20
  6. Step 6: Final answer
    x = 145,164.81

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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.