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Finding the Fourth Proportional to 102,689.31, 154,069.50 and 73,336.12

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Solution

The fourth proportional to 102,689.31, 154,069.50 and 73,336.12 is: 110,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689.31 : 154,069.50 = 73,336.12 : x
  2. Step 2: Convert to fraction form
    102,689.31/154,069.50 = 73,336.12/x
  3. Step 3: Cross multiply
    102,689.31x = 154,069.50 × 73,336.12
  4. Step 4: Simplify right side
    102,689.31x = 11,298,859,340.34
  5. Step 5: Solve for x
    x = 11,298,859,340.34/102,689.31
  6. Step 6: Final answer
    x = 110,029.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.