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Finding the Fourth Proportional to 167,489.68, 251,214.72 and 55,142.32

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Solution

The fourth proportional to 167,489.68, 251,214.72 and 55,142.32 is: 82,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,489.68 : 251,214.72 = 55,142.32 : x
  2. Step 2: Convert to fraction form
    167,489.68/251,214.72 = 55,142.32/x
  3. Step 3: Cross multiply
    167,489.68x = 251,214.72 × 55,142.32
  4. Step 4: Simplify right side
    167,489.68x = 13,852,562,478.95
  5. Step 5: Solve for x
    x = 13,852,562,478.95/167,489.68
  6. Step 6: Final answer
    x = 82,706.96

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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.