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Finding the Fourth Proportional to 113,382.23, 156,457.31 and 65,638.80

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Solution

The fourth proportional to 113,382.23, 156,457.31 and 65,638.80 is: 90,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,382.23 : 156,457.31 = 65,638.80 : x
  2. Step 2: Convert to fraction form
    113,382.23/156,457.31 = 65,638.80/x
  3. Step 3: Cross multiply
    113,382.23x = 156,457.31 × 65,638.80
  4. Step 4: Simplify right side
    113,382.23x = 10,269,669,751.43
  5. Step 5: Solve for x
    x = 10,269,669,751.43/113,382.23
  6. Step 6: Final answer
    x = 90,575.66

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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.