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Finding the Fourth Proportional to 167,374.13, 230,978.12 and 91,922.63

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Solution

The fourth proportional to 167,374.13, 230,978.12 and 91,922.63 is: 126,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,374.13 : 230,978.12 = 91,922.63 : x
  2. Step 2: Convert to fraction form
    167,374.13/230,978.12 = 91,922.63/x
  3. Step 3: Cross multiply
    167,374.13x = 230,978.12 × 91,922.63
  4. Step 4: Simplify right side
    167,374.13x = 21,232,114,648.35
  5. Step 5: Solve for x
    x = 21,232,114,648.35/167,374.13
  6. Step 6: Final answer
    x = 126,854.22

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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.