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Finding the Fourth Proportional to 105,736.68, 158,434.92 and 72,343.80

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Solution

The fourth proportional to 105,736.68, 158,434.92 and 72,343.80 is: 108,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,736.68 : 158,434.92 = 72,343.80 : x
  2. Step 2: Convert to fraction form
    105,736.68/158,434.92 = 72,343.80/x
  3. Step 3: Cross multiply
    105,736.68x = 158,434.92 × 72,343.80
  4. Step 4: Simplify right side
    105,736.68x = 11,461,784,165.50
  5. Step 5: Solve for x
    x = 11,461,784,165.50/105,736.68
  6. Step 6: Final answer
    x = 108,399.32

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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.