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Finding the Fourth Proportional to 227,760.80, 314,441.04 and 151,383.44

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Solution

The fourth proportional to 227,760.80, 314,441.04 and 151,383.44 is: 208,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,760.80 : 314,441.04 = 151,383.44 : x
  2. Step 2: Convert to fraction form
    227,760.80/314,441.04 = 151,383.44/x
  3. Step 3: Cross multiply
    227,760.80x = 314,441.04 × 151,383.44
  4. Step 4: Simplify right side
    227,760.80x = 47,601,166,312.38
  5. Step 5: Solve for x
    x = 47,601,166,312.38/227,760.80
  6. Step 6: Final answer
    x = 208,996.31

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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.