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Finding the Fourth Proportional to 107,294.33, 160,941.49 and 57,222.73

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Solution

The fourth proportional to 107,294.33, 160,941.49 and 57,222.73 is: 85,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.33 : 160,941.49 = 57,222.73 : x
  2. Step 2: Convert to fraction form
    107,294.33/160,941.49 = 57,222.73/x
  3. Step 3: Cross multiply
    107,294.33x = 160,941.49 × 57,222.73
  4. Step 4: Simplify right side
    107,294.33x = 9,209,511,428.07
  5. Step 5: Solve for x
    x = 9,209,511,428.07/107,294.33
  6. Step 6: Final answer
    x = 85,834.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.