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Finding the Fourth Proportional to 343,610.14, 515,502.96 and 106,954.60

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Solution

The fourth proportional to 343,610.14, 515,502.96 and 106,954.60 is: 160,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,610.14 : 515,502.96 = 106,954.60 : x
  2. Step 2: Convert to fraction form
    343,610.14/515,502.96 = 106,954.60/x
  3. Step 3: Cross multiply
    343,610.14x = 515,502.96 × 106,954.60
  4. Step 4: Simplify right side
    343,610.14x = 55,135,412,885.62
  5. Step 5: Solve for x
    x = 55,135,412,885.62/343,610.14
  6. Step 6: Final answer
    x = 160,459.21

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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.