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Finding the Fourth Proportional to 294,083.40, 405,909.14 and 166,835.40

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Solution

The fourth proportional to 294,083.40, 405,909.14 and 166,835.40 is: 230,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,083.40 : 405,909.14 = 166,835.40 : x
  2. Step 2: Convert to fraction form
    294,083.40/405,909.14 = 166,835.40/x
  3. Step 3: Cross multiply
    294,083.40x = 405,909.14 × 166,835.40
  4. Step 4: Simplify right side
    294,083.40x = 67,720,013,735.56
  5. Step 5: Solve for x
    x = 67,720,013,735.56/294,083.40
  6. Step 6: Final answer
    x = 230,274.86

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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.