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Finding the Fourth Proportional to 107,226.96, 160,676.42 and 57,314.16

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Solution

The fourth proportional to 107,226.96, 160,676.42 and 57,314.16 is: 85,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,226.96 : 160,676.42 = 57,314.16 : x
  2. Step 2: Convert to fraction form
    107,226.96/160,676.42 = 57,314.16/x
  3. Step 3: Cross multiply
    107,226.96x = 160,676.42 × 57,314.16
  4. Step 4: Simplify right side
    107,226.96x = 9,209,034,044.11
  5. Step 5: Solve for x
    x = 9,209,034,044.11/107,226.96
  6. Step 6: Final answer
    x = 85,883.57

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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.