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Finding the Fourth Proportional to 294,060.96, 405,849.42 and 166,709.52

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Solution

The fourth proportional to 294,060.96, 405,849.42 and 166,709.52 is: 230,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,060.96 : 405,849.42 = 166,709.52 : x
  2. Step 2: Convert to fraction form
    294,060.96/405,849.42 = 166,709.52/x
  3. Step 3: Cross multiply
    294,060.96x = 405,849.42 × 166,709.52
  4. Step 4: Simplify right side
    294,060.96x = 67,658,962,000.48
  5. Step 5: Solve for x
    x = 67,658,962,000.48/294,060.96
  6. Step 6: Final answer
    x = 230,084.82

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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.