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Finding the Fourth Proportional to 293,559.63, 405,112.28 and 166,259.83

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Solution

The fourth proportional to 293,559.63, 405,112.28 and 166,259.83 is: 229,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,559.63 : 405,112.28 = 166,259.83 : x
  2. Step 2: Convert to fraction form
    293,559.63/405,112.28 = 166,259.83/x
  3. Step 3: Cross multiply
    293,559.63x = 405,112.28 × 166,259.83
  4. Step 4: Simplify right side
    293,559.63x = 67,353,895,946.85
  5. Step 5: Solve for x
    x = 67,353,895,946.85/293,559.63
  6. Step 6: Final answer
    x = 229,438.55

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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.