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Finding the Fourth Proportional to 342,842.96, 514,399.84 and 106,204.10

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Solution

The fourth proportional to 342,842.96, 514,399.84 and 106,204.10 is: 159,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,842.96 : 514,399.84 = 106,204.10 : x
  2. Step 2: Convert to fraction form
    342,842.96/514,399.84 = 106,204.10/x
  3. Step 3: Cross multiply
    342,842.96x = 514,399.84 × 106,204.10
  4. Step 4: Simplify right side
    342,842.96x = 54,631,372,047.34
  5. Step 5: Solve for x
    x = 54,631,372,047.34/342,842.96
  6. Step 6: Final answer
    x = 159,348.09

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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.