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Finding the Fourth Proportional to 102,593.96, 141,643.70 and 78,674.60

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Solution

The fourth proportional to 102,593.96, 141,643.70 and 78,674.60 is: 108,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,593.96 : 141,643.70 = 78,674.60 : x
  2. Step 2: Convert to fraction form
    102,593.96/141,643.70 = 78,674.60/x
  3. Step 3: Cross multiply
    102,593.96x = 141,643.70 × 78,674.60
  4. Step 4: Simplify right side
    102,593.96x = 11,143,761,440.02
  5. Step 5: Solve for x
    x = 11,143,761,440.02/102,593.96
  6. Step 6: Final answer
    x = 108,620.05

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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.