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Finding the Fourth Proportional to 342,914.33, 514,183.57 and 106,191.29

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Solution

The fourth proportional to 342,914.33, 514,183.57 and 106,191.29 is: 159,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,914.33 : 514,183.57 = 106,191.29 : x
  2. Step 2: Convert to fraction form
    342,914.33/514,183.57 = 106,191.29/x
  3. Step 3: Cross multiply
    342,914.33x = 514,183.57 × 106,191.29
  4. Step 4: Simplify right side
    342,914.33x = 54,601,816,595.11
  5. Step 5: Solve for x
    x = 54,601,816,595.11/342,914.33
  6. Step 6: Final answer
    x = 159,228.74

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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.