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Finding the Fourth Proportional to 302,032.56, 416,793.72 and 166,058.41

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Solution

The fourth proportional to 302,032.56, 416,793.72 and 166,058.41 is: 229,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,032.56 : 416,793.72 = 166,058.41 : x
  2. Step 2: Convert to fraction form
    302,032.56/416,793.72 = 166,058.41/x
  3. Step 3: Cross multiply
    302,032.56x = 416,793.72 × 166,058.41
  4. Step 4: Simplify right side
    302,032.56x = 69,212,101,610.89
  5. Step 5: Solve for x
    x = 69,212,101,610.89/302,032.56
  6. Step 6: Final answer
    x = 229,154.44

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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.