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Finding the Fourth Proportional to 167,693, 231,417.24 and 91,212.66

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Solution

The fourth proportional to 167,693, 231,417.24 and 91,212.66 is: 125,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,693 : 231,417.24 = 91,212.66 : x
  2. Step 2: Convert to fraction form
    167,693/231,417.24 = 91,212.66/x
  3. Step 3: Cross multiply
    167,693x = 231,417.24 × 91,212.66
  4. Step 4: Simplify right side
    167,693x = 21,108,182,030.26
  5. Step 5: Solve for x
    x = 21,108,182,030.26/167,693
  6. Step 6: Final answer
    x = 125,873.96

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