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Finding the Fourth Proportional to 234,199.72, 351,362.94 and 84,456.64

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Solution

The fourth proportional to 234,199.72, 351,362.94 and 84,456.64 is: 126,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,199.72 : 351,362.94 = 84,456.64 : x
  2. Step 2: Convert to fraction form
    234,199.72/351,362.94 = 84,456.64/x
  3. Step 3: Cross multiply
    234,199.72x = 351,362.94 × 84,456.64
  4. Step 4: Simplify right side
    234,199.72x = 29,674,933,332.92
  5. Step 5: Solve for x
    x = 29,674,933,332.92/234,199.72
  6. Step 6: Final answer
    x = 126,707.81

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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.