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Finding the Fourth Proportional to 167,405.22, 250,894.29 and 78,462.78

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Solution

The fourth proportional to 167,405.22, 250,894.29 and 78,462.78 is: 117,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,405.22 : 250,894.29 = 78,462.78 : x
  2. Step 2: Convert to fraction form
    167,405.22/250,894.29 = 78,462.78/x
  3. Step 3: Cross multiply
    167,405.22x = 250,894.29 × 78,462.78
  4. Step 4: Simplify right side
    167,405.22x = 19,685,863,479.53
  5. Step 5: Solve for x
    x = 19,685,863,479.53/167,405.22
  6. Step 6: Final answer
    x = 117,594.08

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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.