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Finding the Fourth Proportional to 343,060.80, 514,629.60 and 106,401.60

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Solution

The fourth proportional to 343,060.80, 514,629.60 and 106,401.60 is: 159,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,060.80 : 514,629.60 = 106,401.60 : x
  2. Step 2: Convert to fraction form
    343,060.80/514,629.60 = 106,401.60/x
  3. Step 3: Cross multiply
    343,060.80x = 514,629.60 × 106,401.60
  4. Step 4: Simplify right side
    343,060.80x = 54,757,412,847.36
  5. Step 5: Solve for x
    x = 54,757,412,847.36/343,060.80
  6. Step 6: Final answer
    x = 159,614.31

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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.