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Finding the Fourth Proportional to 105,403.36, 157,761.30 and 57,299.60

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Solution

The fourth proportional to 105,403.36, 157,761.30 and 57,299.60 is: 85,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,403.36 : 157,761.30 = 57,299.60 : x
  2. Step 2: Convert to fraction form
    105,403.36/157,761.30 = 57,299.60/x
  3. Step 3: Cross multiply
    105,403.36x = 157,761.30 × 57,299.60
  4. Step 4: Simplify right side
    105,403.36x = 9,039,659,385.48
  5. Step 5: Solve for x
    x = 9,039,659,385.48/105,403.36
  6. Step 6: Final answer
    x = 85,762.54

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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.