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Finding the Fourth Proportional to 293,620.38, 405,182.57 and 166,296.89

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Solution

The fourth proportional to 293,620.38, 405,182.57 and 166,296.89 is: 229,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,620.38 : 405,182.57 = 166,296.89 : x
  2. Step 2: Convert to fraction form
    293,620.38/405,182.57 = 166,296.89/x
  3. Step 3: Cross multiply
    293,620.38x = 405,182.57 × 166,296.89
  4. Step 4: Simplify right side
    293,620.38x = 67,380,598,415.81
  5. Step 5: Solve for x
    x = 67,380,598,415.81/293,620.38
  6. Step 6: Final answer
    x = 229,482.02

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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.