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Finding the Fourth Proportional to 167,730, 231,467.40 and 92,276.88

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Solution

The fourth proportional to 167,730, 231,467.40 and 92,276.88 is: 127,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,730 : 231,467.40 = 92,276.88 : x
  2. Step 2: Convert to fraction form
    167,730/231,467.40 = 92,276.88/x
  3. Step 3: Cross multiply
    167,730x = 231,467.40 × 92,276.88
  4. Step 4: Simplify right side
    167,730x = 21,359,089,493.71
  5. Step 5: Solve for x
    x = 21,359,089,493.71/167,730
  6. Step 6: Final answer
    x = 127,342.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.