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Finding the Fourth Proportional to 102,511.65, 141,256.11 and 75,611.55

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Solution

The fourth proportional to 102,511.65, 141,256.11 and 75,611.55 is: 104,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511.65 : 141,256.11 = 75,611.55 : x
  2. Step 2: Convert to fraction form
    102,511.65/141,256.11 = 75,611.55/x
  3. Step 3: Cross multiply
    102,511.65x = 141,256.11 × 75,611.55
  4. Step 4: Simplify right side
    102,511.65x = 10,680,593,424.07
  5. Step 5: Solve for x
    x = 10,680,593,424.07/102,511.65
  6. Step 6: Final answer
    x = 104,189.07

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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.