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Finding the Fourth Proportional to 102,071.32, 140,812.96 and 59,611.12

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Solution

The fourth proportional to 102,071.32, 140,812.96 and 59,611.12 is: 82,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.32 : 140,812.96 = 59,611.12 : x
  2. Step 2: Convert to fraction form
    102,071.32/140,812.96 = 59,611.12/x
  3. Step 3: Cross multiply
    102,071.32x = 140,812.96 × 59,611.12
  4. Step 4: Simplify right side
    102,071.32x = 8,394,017,253.99
  5. Step 5: Solve for x
    x = 8,394,017,253.99/102,071.32
  6. Step 6: Final answer
    x = 82,236.79

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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.