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Finding the Fourth Proportional to 165,012.95, 227,729.21 and 92,417.31

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Solution

The fourth proportional to 165,012.95, 227,729.21 and 92,417.31 is: 127,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012.95 : 227,729.21 = 92,417.31 : x
  2. Step 2: Convert to fraction form
    165,012.95/227,729.21 = 92,417.31/x
  3. Step 3: Cross multiply
    165,012.95x = 227,729.21 × 92,417.31
  4. Step 4: Simplify right side
    165,012.95x = 21,046,120,881.10
  5. Step 5: Solve for x
    x = 21,046,120,881.10/165,012.95
  6. Step 6: Final answer
    x = 127,542.24

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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.