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Finding the Fourth Proportional to 294,141.55, 405,907.45 and 166,814.41

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Solution

The fourth proportional to 294,141.55, 405,907.45 and 166,814.41 is: 230,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,141.55 : 405,907.45 = 166,814.41 : x
  2. Step 2: Convert to fraction form
    294,141.55/405,907.45 = 166,814.41/x
  3. Step 3: Cross multiply
    294,141.55x = 405,907.45 × 166,814.41
  4. Step 4: Simplify right side
    294,141.55x = 67,711,211,786.35
  5. Step 5: Solve for x
    x = 67,711,211,786.35/294,141.55
  6. Step 6: Final answer
    x = 230,199.41

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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.