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Finding the Fourth Proportional to 105,080.42, 145,010.96 and 57,333.96

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Solution

The fourth proportional to 105,080.42, 145,010.96 and 57,333.96 is: 79,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.42 : 145,010.96 = 57,333.96 : x
  2. Step 2: Convert to fraction form
    105,080.42/145,010.96 = 57,333.96/x
  3. Step 3: Cross multiply
    105,080.42x = 145,010.96 × 57,333.96
  4. Step 4: Simplify right side
    105,080.42x = 8,314,052,508.53
  5. Step 5: Solve for x
    x = 8,314,052,508.53/105,080.42
  6. Step 6: Final answer
    x = 79,120.85

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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.