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Finding the Fourth Proportional to 342,912.64, 514,181.04 and 106,189.60

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Solution

The fourth proportional to 342,912.64, 514,181.04 and 106,189.60 is: 159,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,912.64 : 514,181.04 = 106,189.60 : x
  2. Step 2: Convert to fraction form
    342,912.64/514,181.04 = 106,189.60/x
  3. Step 3: Cross multiply
    342,912.64x = 514,181.04 × 106,189.60
  4. Step 4: Simplify right side
    342,912.64x = 54,600,678,965.18
  5. Step 5: Solve for x
    x = 54,600,678,965.18/342,912.64
  6. Step 6: Final answer
    x = 159,226.21

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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.