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Finding the Fourth Proportional to 102,730.89, 154,137.21 and 39,534.05

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Solution

The fourth proportional to 102,730.89, 154,137.21 and 39,534.05 is: 59,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,730.89 : 154,137.21 = 39,534.05 : x
  2. Step 2: Convert to fraction form
    102,730.89/154,137.21 = 39,534.05/x
  3. Step 3: Cross multiply
    102,730.89x = 154,137.21 × 39,534.05
  4. Step 4: Simplify right side
    102,730.89x = 6,093,667,396.31
  5. Step 5: Solve for x
    x = 6,093,667,396.31/102,730.89
  6. Step 6: Final answer
    x = 59,316.80

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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.