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Finding the Fourth Proportional to 294,140.55, 405,906.08 and 166,813.41

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Solution

The fourth proportional to 294,140.55, 405,906.08 and 166,813.41 is: 230,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,140.55 : 405,906.08 = 166,813.41 : x
  2. Step 2: Convert to fraction form
    294,140.55/405,906.08 = 166,813.41/x
  3. Step 3: Cross multiply
    294,140.55x = 405,906.08 × 166,813.41
  4. Step 4: Simplify right side
    294,140.55x = 67,710,574,988.32
  5. Step 5: Solve for x
    x = 67,710,574,988.32/294,140.55
  6. Step 6: Final answer
    x = 230,198.03

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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.