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Finding the Fourth Proportional to 302,701.78, 417,731.34 and 166,736.31

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Solution

The fourth proportional to 302,701.78, 417,731.34 and 166,736.31 is: 230,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,701.78 : 417,731.34 = 166,736.31 : x
  2. Step 2: Convert to fraction form
    302,701.78/417,731.34 = 166,736.31/x
  3. Step 3: Cross multiply
    302,701.78x = 417,731.34 × 166,736.31
  4. Step 4: Simplify right side
    302,701.78x = 69,650,982,202.96
  5. Step 5: Solve for x
    x = 69,650,982,202.96/302,701.78
  6. Step 6: Final answer
    x = 230,097.70

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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.