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Finding the Fourth Proportional to 167,927.96, 231,742.14 and 92,477

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Solution

The fourth proportional to 167,927.96, 231,742.14 and 92,477 is: 127,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,927.96 : 231,742.14 = 92,477 : x
  2. Step 2: Convert to fraction form
    167,927.96/231,742.14 = 92,477/x
  3. Step 3: Cross multiply
    167,927.96x = 231,742.14 × 92,477
  4. Step 4: Simplify right side
    167,927.96x = 21,430,817,880.78
  5. Step 5: Solve for x
    x = 21,430,817,880.78/167,927.96
  6. Step 6: Final answer
    x = 127,619.12

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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.