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Finding the Fourth Proportional to 300,792.96, 415,094.27 and 166,656.96

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Solution

The fourth proportional to 300,792.96, 415,094.27 and 166,656.96 is: 229,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,792.96 : 415,094.27 = 166,656.96 : x
  2. Step 2: Convert to fraction form
    300,792.96/415,094.27 = 166,656.96/x
  3. Step 3: Cross multiply
    300,792.96x = 415,094.27 × 166,656.96
  4. Step 4: Simplify right side
    300,792.96x = 69,178,348,318.33
  5. Step 5: Solve for x
    x = 69,178,348,318.33/300,792.96
  6. Step 6: Final answer
    x = 229,986.59

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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.