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Finding the Fourth Proportional to 105,197.33, 145,172.85 and 57,450.68

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Solution

The fourth proportional to 105,197.33, 145,172.85 and 57,450.68 is: 79,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.33 : 145,172.85 = 57,450.68 : x
  2. Step 2: Convert to fraction form
    105,197.33/145,172.85 = 57,450.68/x
  3. Step 3: Cross multiply
    105,197.33x = 145,172.85 × 57,450.68
  4. Step 4: Simplify right side
    105,197.33x = 8,340,278,950.04
  5. Step 5: Solve for x
    x = 8,340,278,950.04/105,197.33
  6. Step 6: Final answer
    x = 79,282.23

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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.