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Finding the Fourth Proportional to 294,113.84, 405,949.20 and 166,863.92

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Solution

The fourth proportional to 294,113.84, 405,949.20 and 166,863.92 is: 230,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,113.84 : 405,949.20 = 166,863.92 : x
  2. Step 2: Convert to fraction form
    294,113.84/405,949.20 = 166,863.92/x
  3. Step 3: Cross multiply
    294,113.84x = 405,949.20 × 166,863.92
  4. Step 4: Simplify right side
    294,113.84x = 67,738,274,832.86
  5. Step 5: Solve for x
    x = 67,738,274,832.86/294,113.84
  6. Step 6: Final answer
    x = 230,313.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.