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Finding the Fourth Proportional to 137,412.40, 205,659.33 and 78,232.18

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Solution

The fourth proportional to 137,412.40, 205,659.33 and 78,232.18 is: 117,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.40 : 205,659.33 = 78,232.18 : x
  2. Step 2: Convert to fraction form
    137,412.40/205,659.33 = 78,232.18/x
  3. Step 3: Cross multiply
    137,412.40x = 205,659.33 × 78,232.18
  4. Step 4: Simplify right side
    137,412.40x = 16,089,177,723.24
  5. Step 5: Solve for x
    x = 16,089,177,723.24/137,412.40
  6. Step 6: Final answer
    x = 117,086.80

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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.