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Finding the Fourth Proportional to 302,200.95, 417,028.97 and 164,375.31

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Solution

The fourth proportional to 302,200.95, 417,028.97 and 164,375.31 is: 226,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,200.95 : 417,028.97 = 164,375.31 : x
  2. Step 2: Convert to fraction form
    302,200.95/417,028.97 = 164,375.31/x
  3. Step 3: Cross multiply
    302,200.95x = 417,028.97 × 164,375.31
  4. Step 4: Simplify right side
    302,200.95x = 68,549,265,400.85
  5. Step 5: Solve for x
    x = 68,549,265,400.85/302,200.95
  6. Step 6: Final answer
    x = 226,833.39

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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.