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Finding the Fourth Proportional to 344,099.05, 516,148.34 and 107,462.01

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Solution

The fourth proportional to 344,099.05, 516,148.34 and 107,462.01 is: 161,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,099.05 : 516,148.34 = 107,462.01 : x
  2. Step 2: Convert to fraction form
    344,099.05/516,148.34 = 107,462.01/x
  3. Step 3: Cross multiply
    344,099.05x = 516,148.34 × 107,462.01
  4. Step 4: Simplify right side
    344,099.05x = 55,466,337,537.25
  5. Step 5: Solve for x
    x = 55,466,337,537.25/344,099.05
  6. Step 6: Final answer
    x = 161,192.94

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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.