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Finding the Fourth Proportional to 102,405.96, 141,323.22 and 59,960.52

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Solution

The fourth proportional to 102,405.96, 141,323.22 and 59,960.52 is: 82,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.96 : 141,323.22 = 59,960.52 : x
  2. Step 2: Convert to fraction form
    102,405.96/141,323.22 = 59,960.52/x
  3. Step 3: Cross multiply
    102,405.96x = 141,323.22 × 59,960.52
  4. Step 4: Simplify right side
    102,405.96x = 8,473,813,759.27
  5. Step 5: Solve for x
    x = 8,473,813,759.27/102,405.96
  6. Step 6: Final answer
    x = 82,747.27

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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.