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Finding the Fourth Proportional to 342,914.14, 514,183.29 and 106,191.10

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Solution

The fourth proportional to 342,914.14, 514,183.29 and 106,191.10 is: 159,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,914.14 : 514,183.29 = 106,191.10 : x
  2. Step 2: Convert to fraction form
    342,914.14/514,183.29 = 106,191.10/x
  3. Step 3: Cross multiply
    342,914.14x = 514,183.29 × 106,191.10
  4. Step 4: Simplify right side
    342,914.14x = 54,601,689,166.72
  5. Step 5: Solve for x
    x = 54,601,689,166.72/342,914.14
  6. Step 6: Final answer
    x = 159,228.46

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1.5x scale

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.