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Finding the Fourth Proportional to 105,706.68, 158,452.56 and 66,291.27

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Solution

The fourth proportional to 105,706.68, 158,452.56 and 66,291.27 is: 99,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,706.68 : 158,452.56 = 66,291.27 : x
  2. Step 2: Convert to fraction form
    105,706.68/158,452.56 = 66,291.27/x
  3. Step 3: Cross multiply
    105,706.68x = 158,452.56 × 66,291.27
  4. Step 4: Simplify right side
    105,706.68x = 10,504,021,437.15
  5. Step 5: Solve for x
    x = 10,504,021,437.15/105,706.68
  6. Step 6: Final answer
    x = 99,369.51

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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.