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Finding the Fourth Proportional to 105,452.56, 158,195.34 and 34,358.69

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Solution

The fourth proportional to 105,452.56, 158,195.34 and 34,358.69 is: 51,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.56 : 158,195.34 = 34,358.69 : x
  2. Step 2: Convert to fraction form
    105,452.56/158,195.34 = 34,358.69/x
  3. Step 3: Cross multiply
    105,452.56x = 158,195.34 × 34,358.69
  4. Step 4: Simplify right side
    105,452.56x = 5,435,384,646.50
  5. Step 5: Solve for x
    x = 5,435,384,646.50/105,452.56
  6. Step 6: Final answer
    x = 51,543.41

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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.